How to find the height of an acute / obtuse triangle - ACT Math

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Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Question

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

Answer

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Compare your answer with the correct one above

Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Question

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

Answer

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Compare your answer with the correct one above

Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Question

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

Answer

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Compare your answer with the correct one above

Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Question

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

Answer

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Compare your answer with the correct one above

Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Question

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

Answer

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Compare your answer with the correct one above

Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Question

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

Answer

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Compare your answer with the correct one above

Question

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Answer

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Compare your answer with the correct one above

Question

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

Answer

Because this is an isosceles triangle, $\overline{AC}=\overline{AB}$ . Also, we know that the base of the triangle, $\overline{BC}=8$ . Therefore, we create two triangles by bisecting the trinagle down the center. We are solving for the length of the long arm of the triangle. We know that the hypotenuse is 12 and the base is 4 (half of 8).

Thus we use the Pythagorean Theorem to find the length of the long arm:

$12^{2} = 4^2+h^2$

$h = \sqrt{12^2-4^2}$

Compare your answer with the correct one above

Tap the card to reveal the answer

How to find the height of an acute / obtuse triangle - ACT Math

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

The area of a triangle is found using the formula The height of any triangle is the length from it's highest point to the base, as pictured below: We can find the height by rearranging the area formula:

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

The area of a triangle is found using the formula The height of any triangle is the length from it's highest point to the base, as pictured below: We can find the height by rearranging the area formula:

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

The area of a triangle is found using the formula The height of any triangle is the length from it's highest point to the base, as pictured below: We can find the height by rearranging the area formula:

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

The area of a triangle is found using the formula The height of any triangle is the length from it's highest point to the base, as pictured below: We can find the height by rearranging the area formula:

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

The area of a triangle is found using the formula The height of any triangle is the length from it's highest point to the base, as pictured below: We can find the height by rearranging the area formula:

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

The triangle above has an area of units squared. If the length of the base is units, what is the height of the triangle?

The area of a triangle is found using the formula The height of any triangle is the length from it's highest point to the base, as pictured below: We can find the height by rearranging the area formula:

If the area of an isosceles triangle is and its base is , what is the height of the triangle?

Use the formula for area of a triangle to solve for the height:

Find the height of the isosceles triangle above if the length of and . If your answer is in a decimal form, round to the nearest tenths place.

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.

The area of a triangle is found using the formula

$A=\frac{1}{2}(base)(height)$

The height of any triangle is the length from it's highest point to the base, as pictured below:

We can find the height by rearranging the area formula:

$h = \frac{2A}{b} = \frac{2(15)}{10} = 3$

Use the formula for area of a triangle to solve for the height:

$A=\frac{1}{2}(b)(h)$

$50=\frac{1}{2}(10)(h)$

Find the height of the isosceles triangle above if the length of $\overline{AB}=12$ and $\overline{BC}=8$ . If your answer is in a decimal form, round to the nearest tenths place.