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SSAT Elementary Level Math : Triangles

Study concepts, example questions & explanations for SSAT Elementary Level Math

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All SSAT Elementary Level Math Resources

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Example Questions

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Example Question #5751 : Ssat Elementary Level Quantitative (Math)

What is the area of a right triangle with a base of length 4 and a height that is 3 times longer than the base?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is given by the formula $A = \frac{1}{2}\times b \times h$ , where is the length of the base and is the height.

First let's figure out the height. The base is 4, and the height is 3 times greater than the base:

$3 \times 4 = 12$

Now plug the base and height into the area formula:

$A = 0.5 \times 4 \times 12 = 2 \times 12 = 24$

The area of the triangle is 24.

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Example Question #5751 : Ssat Elementary Level Quantitative (Math)

A triangle has base of length units and a height of length units. What is the area of this triangle?

Possible Answers:

units squared

Correct answer:

units squared

Explanation:

To calculate the area of a triangle, you use the formula $\frac{1}{2}\cdot b\cdot h$ , where is the length of the base of the triangle and is the height of the triangle. For this triangle, we need to solve the equation $\frac{1}{2}\cdot 6 \cdot 8$ to find its area. $6\cdot 8=48$ and $48\div2=24$ , so the triangle's area is units squared.

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Example Question #601 : Plane Geometry

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

Possible Answers:

120

180

240

Correct answer:

120

Explanation:

Write the formula for area of a triangle. Substitute the dimensions.

$A=\frac{bh}{2} = \frac{(12)(20)}{2} = 12(10)=120$

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Example Question #602 : Plane Geometry

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

Possible Answers:

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

Write the formula for the area of a triangle.

$A=\frac{1}{2} (B\times H)$

Substitute the base and height to find the area.

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

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

What is the area of the triangle in the figure?

Screen_shot_2014-01-31_at_4.06.32_pm

Possible Answers:

100 cm^2

600 cm^2

300 cm^2

150 cm^2

250 cm^2

Correct answer:

150 cm^2

Explanation:

Because the question asks you to find the AREA of the triangle, you are looking to figure out how much space the triangle covers. You find the area of triangles by multiplying the height of the triangle times the base and dividing by . So $A = 1/2 \times B \times H$ , or $A = 10 \: cm \times 30 \: cm \times 1/2$ . Therefore the correct answer is 150 cm^2

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

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

Possible Answers:

$12\sqrt2$

$\frac{\sqrt{6}}{2}$

$2\sqrt6$

Correct answer:

Explanation:

Write the formula for the area of a triangle.

$A=\frac{1}{2}\times \textup{ Base }\times \textup{ Height}$

Substitute the base and height into the formula.

$A= \frac{1}{2} (8)(3) = 12$

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Example Question #11 : Triangles

Find the area of a triangle whose base is 6 and height is 7.

Possible Answers:

Correct answer:

Explanation:

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

$A=\frac{1}{2}Bh=\frac{1}{2}(7)(6)=\frac{42}{2}=21$

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Example Question #12 : Triangles

Find the area of a triangle whose base length is 8 and height is 4.

Possible Answers:

Correct answer:

Explanation:

To find area of a triangle, simply use the formula below:

$A=\frac{1}{2}Bh=\frac{1}{2}(8)(4)=16$

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Example Question #13 : Triangles

Find the area of a triangle whose base is 8 and height is 3.

Possible Answers:

Correct answer:

Explanation:

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

$A=\frac{1}{2}Bh=\frac{1}{2}*8*3=12$

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Example Question #10 : Geometry

Why is this shape NOT a triangle?

Screen shot 2015 07 21 at 2.45.18 pm

Possible Answers:

Because it does have sides

Because it is blue

Because it is flat

Because it does not have sides

Because it is not a closed shape

Correct answer:

Because it does not have sides

Explanation:

A triangle has sides, and this shape has .

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SSAT Elementary Level Math : Triangles

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

Example Question #5751 : Ssat Elementary Level Quantitative (Math)

Example Question #5751 : Ssat Elementary Level Quantitative (Math)

Example Question #601 : Plane Geometry

Example Question #602 : Plane 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 : Triangles

Example Question #12 : Triangles

Example Question #13 : Triangles

Example Question #10 : Geometry

All SSAT Elementary Level Math Resources

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