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ISEE Lower Level Math : Triangles

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

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Example Questions

Example Question #11 : How To Find The Area Of A Triangle

What is the area of a triangle for which the base is 9 inches and the height is 12 inches?

Possible Answers:

$52\ \text{in}^2$

$42\ \text{in}^2$

$48\ \text{in}^2$

$46\ \text{in}^2$

$54\ \text{in}^2$

Correct answer:

$54\ \text{in}^2$

Explanation:

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

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

Given that the base is 9 inches and the height is 12 inches, plugging these numbers into the equation gives us the following:

$Area =\frac{9\cdot 12}{2}$

$Area = \frac{108}{2}$

Area=54

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Example Question #11 : How To Find The Area Of A Triangle

If a triangle has a height of 2 inches and a base that is 3 times as long, what is the area?

Possible Answers:

Correct answer:

Explanation:

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

Given that the height is 2 inches, and the base is 3 times that of the height, the base is 6 inches.

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

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

Area =6

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Example Question #13 : How To Find The Area Of A Triangle

If the area of a triangle is 15 feet and the height is 5 feet, what is the length of the base?

Possible Answers:

Correct answer:

Explanation:

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

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

$15=\frac{5\cdot base}{2}$

Each side of the equation should be multiplied by 2.

$30=5\cdot base$

Each side should be divided by 5.

Therefore, the base has a value of 6.

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Example Question #11 : How To Find The Area Of A Triangle

A triangle has a height of 6 inches and a base of 3 inches. What is the area, in square inches?

Possible Answers:

$12\ \text{in}^2$

$9\ \text{in}^2$

$18\ \text{in}^2$

$10\ \text{in}^2$

$11\ \text{in}^2$

Correct answer:

$9\ \text{in}^2$

Explanation:

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

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

Here, the base is 3 inches and the height is 6 inches. When plugging this information into the formula, we get:

$Area =\frac{3\times 6}{2}$

$Area=\frac{18}{2}$

This fraction reduces to 9, the correct answer.

$\frac{18}{2}=\frac{18\div2}{2\div2}=\frac{9}{1}=9$

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Example Question #12 : How To Find The Area Of A Triangle

Find the area of a triangle whose base is and height is .

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a triangle. Thus,

$A=\frac{1}{2}Bh=\frac{1}{2}*5*6=15$

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Example Question #11 : How To Find The Area Of A Triangle

If you have a right triangle with a height of 6 inches, a base of 8 inches, and a hypotenuse of 10 inches, what is its area?

Possible Answers:

140in^2

40in^2

240in^2

24in^2

Correct answer:

24in^2

Explanation:

If you have a right triangle with a height of 6 inches, a base of 8 inches, and a hypotenuse of 10 inches, what is its area?

To find area of a triangle, we use

$A_{triangle}=\frac{1}{2}bh$

So, plug in our base and height measurements to get our answer:

$A_{triangle}=\frac{1}{2}*8in*6in=24 in^2$

Coincidentally, the same as our perimeter

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Example Question #12 : How To Find The Area Of A Triangle

How much area does a triangular garden have with a base of and a height of ?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is

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

so given that the base is 5 and the height is 6, the area equation becomes,

5*6=30

and

$\frac{1}{2}*30=15$ .

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Example Question #18 : How To Find The Area Of A Triangle

7769e6365587d735d2ecf55b347a7f06a0cd32eb

If the formula for the area of a triangle is

$A=\frac{1}{2} \times base \times height$ ,

what is the area of this triangle?

Possible Answers:

$10cm^{^2{}}$

$40cm^{2}$

$20cm^{2_{}}$

$13cm^{2}$

Correct answer:

$20cm^{2_{}}$

Explanation:

Using the formula:

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

where

b=8, h=5

7769e6365587d735d2ecf55b347a7f06a0cd32eb

$A=\frac{1}{2}(8\times 5)$

Since $8\times 5=40$ the equation becomes

$A=\frac{1}{2}(40)=\frac{40}{2}=\frac{20\cdot 2}{2}=20$

$A= 20cm^{2}$

Note: Answer will always be represented with the measurement to the second power when calculating the area of a triangle.

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Example Question #19 : How To Find The Area Of A Triangle

Find the area of a triangle with a height of 12in and a base that is half the height.

Possible Answers:

$72\text{in}$

$36\text{in}^2$

$72\text{in}^2$

$18\text{in}$

$36\text{in}$

Correct answer:

$36\text{in}^2$

Explanation:

The formula to find the area of a triangle is

$\text{area of triangle} = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

We know the height of the triangle is 12in. We know the base is half the height, so the base is 6in. Now, we can substitute. We get

$\text{area of triangle} = \frac{1}{2} \cdot 6\text{in} \cdot 12\text{in}$

$\text{area of triangle} = \frac{1}{2} \cdot72\text{in}^2$

$\text{area of triangle} = 36\text{in}^2$

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Example Question #11 : How To Find The Area Of A Triangle

The base of a triangle is inches, and the height of the triangle is inches. What is the area of the triangle?

Possible Answers:

y/2

.5y

Correct answer:

Explanation:

To find the area of a triangle, multiply the base by the height, and divide by two. The best answer is:

y * 2 = 2y

2y/2 = y

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All ISEE Lower Level Math Resources

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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 #11 : How To Find The Area Of A Triangle

Example Question #11 : How To Find The Area Of A Triangle

Example Question #13 : How To Find The Area Of A Triangle

Example Question #11 : How To Find The Area Of A Triangle

Example Question #12 : How To Find The Area Of A Triangle

Example Question #11 : How To Find The Area Of A Triangle

Example Question #12 : How To Find The Area Of A Triangle

Example Question #18 : How To Find The Area Of A Triangle

Example Question #19 : How To Find The Area Of A Triangle

Example Question #11 : How To Find The Area Of A Triangle

All ISEE Lower Level Math Resources

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