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ISEE Lower Level Math : Triangles

Study concepts, example questions & explanations for ISEE Lower Level Math

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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Area Of A Triangle

The base of triangle ABC is $\dpi{100} 6\ cm$ , it's height $\dpi{100} 12\ cm$ . What is the triangle's area?

Possible Answers:

$\dpi{100} 36\ cm^{2}$

$\dpi{100} 30\ cm^{2}$

$\dpi{100} 18\ cm^{2}$

$\dpi{100} 72\ cm^{2}$

Correct answer:

$\dpi{100} 36\ cm^{2}$

Explanation:

$\dpi{100} Area=\frac{1}{2}\ base\times height$

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Example Question #2 : Triangles

What is the area of a triangle that has a base of $14\ cm$ and a height of $5\ cm.$

Possible Answers:

$38 cm^{2}$

$35 cm^{2}$

$40 cm^{2}$

$19 cm^{2 }$

$42 cm^{2}$

Correct answer:

$35 cm^{2}$

Explanation:

In order to find the area of a triangle, we must use the formula

$\frac{1}{2}\left ( b\cdot h \right )$

So the first thing we must do is multiply the base and height.

$14cm\cdot 5 cm = 70 cm^{2}$

The next thing we must do is find $\frac{1}{2}$ of through multiplication.

$\small \frac{1}{2}$ $\cdot 70 cm^{2}=35 cm^{2}$

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Example Question #1 : How To Find The Area Of A Triangle

Find the area of the triangle:

Question_12

Possible Answers:

Correct answer:

Explanation:

$A=\frac{1}{2}bh$

$A=\frac{1}{2}(10)(7)$

A=(5)(7)=35

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Example Question #2 : Triangles

A triangle has an area of 36 in.². if its base is 6 in., what is its height?

Possible Answers:

$36\ in$

$3\ in$

$6\ in$

$24\ in$

$12\ in$

Correct answer:

$12\ in$

Explanation:

To find the height of the triangle, you must need to plug in what you know (the area and the base of the triangle) into the formula to find the area of the triangle:

$Area=\frac{1}{2}bh$

$36=\frac{1}{2}6h$

Now that you plugged in the area and the base into the formula to find the area of a triangle, you can solve for the height:

Multiply both sides by 2 (the reciprocal of 1/2) to get rid of the fraction

$2*36=\frac{1}{2}6h*2$

72=6h

Divide both sides by 6 to find the height

$\frac{72}{6}=\frac{6}{6}h$

12=1*h Remember that 1*h is the same as

12=h

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Example Question #281 : Plane Geometry

A triangle has a base that is 8 cm. and a height that is 12 cm. What is the area of this triangle?

Possible Answers:

$50\ cm^{2}$

$96\ cm^{2}$

$36\ cm^{2}$

$60\ cm^{2}$

$48\ cm^{2}$

Correct answer:

$48\ cm^{2}$

Explanation:

To find the area of the triangle, we need to plug in what we know (the base and the height) into the formula to find the area of the triangle:

$A=\frac{1}{2}bh$

$A=\frac{1}{2}*8*12$

We can know solve for

$A=\frac{1}{2}*8*12$

A=4*12

$A=48cm.^{2}$

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Example Question #2 : How To Find The Area Of A Triangle

Find the height of the triangle.

If the base of a triangle is 6mm and the area is 12mm , what is the height of the triangle?

Possible Answers:

2mm

4mm

9mm

3mm

18mm

Correct answer:

4mm

Explanation:

Area of a triangle is

$\frac{1}{2}base\times height$

Set up the equation, then solve:

$\frac{1}{2}(6mm)\times h = 12mm$

$(3mm)\times h=12mm$

so h=4mm

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Example Question #3 : How To Find The Area Of A Triangle

A triangle has a base of 7 and a height of 4. What is the area of the triangle?

Possible Answers:

None of these

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2.

$Area =\frac{base\cdot height}2{}$

Plugging in the appropriate values for this equation gives us:

$Area =\frac{7\cdot 4}2{}$

This reduces to:

$Area =\frac{28}2{}=14$

This is equal to 14, the correct answer.

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Example Question #3 : How To Find The Area Of A Triangle

A triangle has a base of 8 inches and a height of 4 inches. What is the area in square inches?

Possible Answers:

$32\ \text{in}^2$

$16\ \text{in}^2$

$8\ \text{in}^2$

$12\ \text{in}^2$

$14\ \text{in}^2$

Correct answer:

$16\ \text{in}^2$

Explanation:

The area of a triangle can be calculated using this formula:

$Area=\frac{base\cdot height}{2}$

When inputting the base and height information, the equation looks like this:

$Area=\frac{8\cdot 4}{2}$

$Area=\frac{32}{2}$

Area=16

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Example Question #7 : How To Find The Area Of A Triangle

The area of a triangle is 12 square inches. It has a height of 4 inches. What is the triangle's base, in inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is:

$A = \frac{1}{2}b\times h$

Given that the area is 12 and the base is 4, this gives us:

$12= \frac{1}{2}(4)\times h$

This reduces to:

$12= 2\times h$

6= h

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Example Question #284 : Plane Geometry

If a triangle has a base of 1 foot, and a height of half a foot, what is the area in square inches?

Possible Answers:

$36\ \text{in}^2$

$72\ \text{in}^2$

$42\ \text{in}^2$

$0.5\ \text{in}^2$

$0.25\ \text{in}^2$

Correct answer:

$36\ \text{in}^2$

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2.

$Area =\frac{base\cdot height}{2}$

Since we are looking for the area in inches, we must convert the base and height to inches, from feet.

$1\text{ft}=12\text{in}=base$

$\frac{1}{2}\text{ft}=6\text{in}=height$

This gives us a base of 6 inches and a height of 12 inches. Plug these values into the area equation and solve.

$Area =\frac{6\cdot 12}{2}$

$Area =\frac{72}{2}$

Area=36

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ISEE Lower Level Math : Triangles

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #1 : How To Find The Area Of A Triangle

Example Question #2 : Triangles

Example Question #1 : How To Find The Area Of A Triangle

Example Question #2 : Triangles

Example Question #281 : Plane Geometry

Example Question #2 : How To Find The Area Of A Triangle

Example Question #3 : How To Find The Area Of A Triangle

Example Question #3 : How To Find The Area Of A Triangle

Example Question #7 : How To Find The Area Of A Triangle

Example Question #284 : Plane Geometry

All ISEE Lower Level Math Resources

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