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Basic Geometry : How to find the height of a right triangle

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #1491 : Basic Geometry

If the area of a right triangle is , and the base of the triangle is , what is the height of the triangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Now, we are going to manipulate the equation to solve for height.

$2(\text{Area})=\text{base}\times\text{height}$

$\text{Height}=\frac{2(\text{Area})}{\text{base}}$

Now, plug in the information given by the question about the values of the area and base of the triangle to find the height.

$\text{Height}=\frac{2(30)}{4}=\frac{60}{4}=15$

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Example Question #1492 : Basic Geometry

If the area of a right triangle is , and the base of the triangle is , what is the height of the triangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Now, we are going to manipulate the equation to solve for height.

$2(\text{Area})=\text{base}\times\text{height}$

$\text{Height}=\frac{2(\text{Area})}{\text{base}}$

Now, plug in the information given by the question about the values of the area and base of the triangle to find the height.

$\text{Height}=\frac{2(60)}{40}=\frac{120}{40}=3$

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Example Question #1493 : Basic Geometry

If the area of a right triangle is , and the base of the triangle is , what is the height of the triangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Now, we are going to manipulate the equation to solve for height.

$2(\text{Area})=\text{base}\times\text{height}$

$\text{Height}=\frac{2(\text{Area})}{\text{base}}$

Now, plug in the information given by the question about the values of the area and base of the triangle to find the height.

$\text{Height}=\frac{2(22)}{11}=\frac{44}{11}=4$

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Example Question #1494 : Basic Geometry

If the area of a right triangle is , and the base of the triangle is , what is the height of the triangle?

Possible Answers:

$\frac{1}{8}$

$\frac{1}{2}$

$\frac{1}{4}$

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Now, we are going to manipulate the equation to solve for height.

$2(\text{Area})=\text{base}\times\text{height}$

$\text{Height}=\frac{2(\text{Area})}{\text{base}}$

Now, plug in the information given by the question about the values of the area and base of the triangle to find the height.

$\text{Height}=\frac{2(4)}{8}=\frac{8}{8}=1$

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Example Question #1495 : Basic Geometry

If the area of a right triangle is , and the base of the triangle is , what is the height of the triangle?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a right triangle:

$\text{Area}=\frac{1}{2}(\text{base}\times\text{height})$

Now, we are going to manipulate the equation to solve for height.

$2(\text{Area})=\text{base}\times\text{height}$

$\text{Height}=\frac{2(\text{Area})}{\text{base}}$

Now, plug in the information given by the question about the values of the area and base of the triangle to find the height.

$\text{Height}=\frac{2(3)}{3}=\frac{6}{3}=2$

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Example Question #1496 : Basic Geometry

Prblem 8 basic geometry

Find the missing length in triangle ABC.

Possible Answers:

$2\ in$

$5\ in$

$5/4\ in$

$3\ in$

$4\ in$

Correct answer:

$4\ in$

Explanation:

To find the missing length, use the Pythagorean Theorem.

a^2+b^2=c^2

Where "a" and "b" are the legs, and "c" is the hypotenuse.

a=3 inches

b=???

c= 5 inches

Plug in the values

3^2+b^2=5^2

9+b^2=25

Now, get the variable by itself.

b^2=16

Take the square root of both sides.

$\sqrt{b^2}=\sqrt{16}$

b=4

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Basic Geometry : How to find the height of a right triangle

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #1491 : Basic Geometry

Example Question #1492 : Basic Geometry

Example Question #1493 : Basic Geometry

Example Question #1494 : Basic Geometry

Example Question #1495 : Basic Geometry

Example Question #1496 : Basic Geometry

All Basic Geometry Resources

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