SSAT Elementary Level Math : Triangles

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

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Example Questions

Example Question #591 : Geometry

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 , 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:

Now plug the base and height into the area formula:

 

The area of the triangle is 24.

Example Question #601 : Plane Geometry

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

Possible Answers:

 units squared

 units squared

 units squared

 units squared

 units squared

Correct answer:

 units squared

Explanation:

To calculate the area of a triangle, you use the formula , 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  to find its area.  and , so the triangle's area is  units squared.

Example Question #11 : Triangles

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

Possible Answers:

Correct answer:

Explanation:

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

Example Question #12 : Triangles

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

Possible Answers:

Correct answer:

Explanation:

Write the formula for the area of a triangle.

Substitute the base and height to find the area.

Example Question #13 : Triangles

What is the area of the triangle in the figure?

Screen_shot_2014-01-31_at_4.06.32_pm

Possible Answers:

Correct answer:

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 , or . Therefore the correct answer is 

Example Question #14 : Triangles

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

Possible Answers:

Correct answer:

Explanation:

Write the formula for the area of a triangle.

Substitute the base and height into the formula.

Example Question #15 : 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.

Example Question #16 : 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:

Example Question #17 : 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,

Example Question #18 : Triangles

Why is this shape NOT a triangle? 

Screen shot 2015 07 21 at 2.45.18 pm

Possible Answers:

Because it is blue

Because it is flat

Because it does have  sides

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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