SSAT Elementary Level Math : How to find the area of a triangle

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

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Example Questions

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Example Question #1 : How To Find The Area Of A Triangle

The altitude of a triangle is given as , and its base as . What is the area of the triangle? 

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is given by .

altitude

base  =

Therefore:

Area

Example Question #1 : How To Find The Area Of A Triangle

What is the area of a triangle with a base of 11 and a height of 4?

Possible Answers:

60

6

14

44

22

Correct answer:

22

Explanation:

The formula to find the area of a triangle is . First, we should multiply 11 (base) x 4 (height), to get a total of 44. Next, we need to divide 44 by 2, which gives us a total area of 22.

Example Question #3 : How To Find The Area Of A Triangle

You can find the area of a triangle if you know ___________.

Possible Answers:

its angles

two side lengths

the perimeter

the height and base

Correct answer:

the height and base

Explanation:

Example Question #4 : How To Find The Area Of A Triangle

Squareslice

The square shown above has a side length of 3 and is divided into two triangles by its diagonal. What is the area of one of the triangles?

Possible Answers:

Correct answer:

Explanation:

The area of the square is side times side, .

Each triangle is half of the square, .

Example Question #5 : How To Find The Area Of A Triangle

Screen_shot_2014-01-10_at_1.07.49_pm

What is the area of the triangle?

Possible Answers:

Correct answer:

Explanation:

The formula to find the area of a triangle is 

First, we should multiply  (base)   (height), to get a total of .

Next, we need to divide  by , which gives us a total area of

Example Question #1 : How To Find The Area Of A Triangle

An isosceles triangle has a base of 12 cm and a height of 6 cm. What is the area of the triangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of a triangle, you must multiply by the base (12 cm) by the height (6 cm):

Therefore the area of this triangle is .

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

A triangle has a base of 14 and a height of 8. What is the area of the triangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of a triangle, multiply the base (14) by the height (8) and divide by 2:

Therefore the area of this triangle is .

 

Example Question #8 : How To Find The Area Of A Triangle

Screen_shot_2014-01-06_at_12.34.19_pm

What is the area of the triangle?

Possible Answers:

24

28

48

60

30

Correct answer:

24

Explanation:

The formula to find the area of a triangle is .

Example Question #9 : How To Find The Area Of A Triangle

If a triangle has a base of 3 inches and a height of 8 inches, what is the area of the triangle?

Possible Answers:

 

 

Correct answer:

Explanation:

The formula for the area of a triangle is  .

Plug in the values given to solve the equation:  

 

 

 

Example Question #2 : How To Find The Area Of A Triangle

A triangle has a base of 10 centimeters and a height of 12 centimeters. What is the area of the triangle?

Possible Answers:

 

Correct answer:

 

Explanation:

The formula for the area of a triangle is .

Plug in the given values to solve for the area:

 =

 =  

The area of this triangle is .

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