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SSAT Elementary Level Math : Triangles

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

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Example Questions

Example Question #11 : Triangles

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:

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 36$

$\displaystyle 24$

$\displaystyle 48$

Correct answer:

$\displaystyle 24$

Explanation:

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

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

$3 \times 4 = 12$ $\displaystyle 3 \times 4 = 12$

Now plug the base and height into the area formula:

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

The area of the triangle is 24.

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Example Question #601 : Geometry

A triangle has base of length $\displaystyle 6$ units and a height of length $\displaystyle 8$ units. What is the area of this triangle?

Possible Answers:

$\displaystyle 14$ units squared

$\displaystyle 20$ units squared

$\displaystyle 24$ units squared

$\displaystyle 15$ units squared

$\displaystyle 8$ units squared

Correct answer:

$\displaystyle 24$ units squared

Explanation:

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

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Example Question #12 : Triangles

The base of a triangle is $\displaystyle 12$, and the height is $\displaystyle 20$. What is the area of the triangle?

Possible Answers:

240 $\displaystyle 240$

$\displaystyle 60$

120 $\displaystyle 120$

$\displaystyle 75$

180 $\displaystyle 180$

Correct answer:

120 $\displaystyle 120$

Explanation:

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

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

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Example Question #13 : Triangles

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

Possible Answers:

$\displaystyle 1$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\displaystyle 2$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

Correct answer:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Explanation:

Write the formula for the area of a triangle.

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

Substitute the base and height to find the area.

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

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Example Question #14 : 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:

$\displaystyle 250 cm^2$

$\displaystyle 600 cm^2$

$\displaystyle 150 cm^2$

$\displaystyle 300 cm^2$

$\displaystyle 100 cm^2$

Correct answer:

$\displaystyle 150 cm^2$

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 $\displaystyle 2$. So $A = 1/2 \times B \times H$ $\displaystyle A = 1/2 \times B \times H$, or $A = 10 \: cm \times 30 \: cm \times 1/2$ $\displaystyle A = 10 \: cm \times 30 \: cm \times 1/2$. Therefore the correct answer is $\displaystyle 150 cm^2$

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Example Question #15 : How To Find The Area Of A Triangle

The base of a triangle is $\displaystyle 8$ and the height of the triangle is $\displaystyle 3$. What is the area of the triangle?

Possible Answers:

$2\sqrt6$ $\displaystyle 2\sqrt6$

$12\sqrt2$ $\displaystyle 12\sqrt2$

$\displaystyle 24$

$\displaystyle 12$

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

Correct answer:

$\displaystyle 12$

Explanation:

Write the formula for the area of a triangle.

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

Substitute the base and height into the formula.

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

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Example Question #14 : Triangles

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

Possible Answers:

$\displaystyle 13$

$\displaystyle 42$

$\displaystyle 26$

$\displaystyle 21$

Correct answer:

$\displaystyle 21$

Explanation:

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

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

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Example Question #15 : Triangles

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

Possible Answers:

$\displaystyle 16$

$\displaystyle 14$

$\displaystyle 24$

$\displaystyle 32$

Correct answer:

$\displaystyle 16$

Explanation:

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

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

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Example Question #16 : Triangles

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

Possible Answers:

$\displaystyle 22$

$\displaystyle 12$

$\displaystyle 24$

$\displaystyle 11$

Correct answer:

$\displaystyle 12$

Explanation:

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

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

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Example Question #1 : Defining Versus Non Defining Attributes: Ccss.Math.Content.1.G.A.1

Why is this shape NOT a triangle?

Screen shot 2015 07 21 at 2.45.18 pm

Possible Answers:

Because it does not have $\displaystyle 3$ sides

Because it is blue

Because it is flat

Because it does have $\displaystyle 3$ sides

Because it is not a closed shape

Correct answer:

Because it does not have $\displaystyle 3$ sides

Explanation:

A triangle has $\displaystyle 3$ sides, and this shape has $\displaystyle 4$.

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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 #11 : Triangles

Example Question #601 : Geometry

Example Question #12 : Triangles

Example Question #13 : Triangles

Example Question #14 : How To Find The Area Of A Triangle

Example Question #15 : How To Find The Area Of A Triangle

Example Question #14 : Triangles

Example Question #15 : Triangles

Example Question #16 : Triangles

Example Question #1 : Defining Versus Non Defining Attributes: Ccss.Math.Content.1.G.A.1

All SSAT Elementary Level Math Resources

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