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ISEE Lower Level Math : Geometry

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Example Questions

Example Question #301 : Geometry

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:

4mm

3mm

2mm

9mm

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 #6 : 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 #7 : Triangles

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

Possible Answers:

$32\ \text{in}^2$

$12\ \text{in}^2$

$14\ \text{in}^2$

$8\ \text{in}^2$

$16\ \text{in}^2$

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 #7 : How To Find The Area Of A Triangle

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:

$72\ \text{in}^2$

$0.25\ \text{in}^2$

$36\ \text{in}^2$

$0.5\ \text{in}^2$

$42\ \text{in}^2$

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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Example Question #302 : Geometry

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

Possible Answers:

$48\ \text{in}^2$

$42\ \text{in}^2$

$46\ \text{in}^2$

$52\ \text{in}^2$

$54\ \text{in}^2$

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 #12 : 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 #303 : Geometry

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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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Geometry

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #301 : Geometry

Example Question #6 : How To Find The Area Of A Triangle

Example Question #7 : Triangles

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

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

Example Question #302 : Geometry

Example Question #12 : 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 #303 : Geometry

All ISEE Lower Level Math Resources

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