How to find the area of a triangle

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SSAT Elementary Level Quantitative › How to find the area of a triangle

Questions 1 - 10

1

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

Explanation

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

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

2

Find the area of a triangle.

What is the area of a triangle with a base of 10cm and a height of 5cm?

$25cm^{2}$

$50cm^{2}$

$7.5cm^{2}$

Explanation

First you must understand that the area of a triangle is $\frac{1}{2}$ base times height.

$\frac{1}{2}\times10cm=5cm$

$5cm\times5cm=25cm^{2}$

3

Find the area of a triangle with a base of 6in and a height that is three times the base.

$54\text{in}^2$

$18\text{in}^2$

$108\text{in}^2$

$9\text{in}^2$

$68\text{in}^2$

Explanation

To find the area of a triangle, we will use the following formula:

$A = \frac{1}{2} \cdot b \cdot h$

where b is the base and h is the height of the triangle.

Now, we know the base of the triangle is 6in. We also know the height of the triangle is three times the base. Therefore, the height is 18in.

Now, we can substitute. We get

$A = \frac{1}{2} \cdot 6\text{in} \cdot 18\text{in}$

$A = 3\text{in} \cdot 18\text{in}$

$A = 54\text{in}^2$

4

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

$36: cm^{2}$

$72: cm^{2}$

$12: cm^{2}$

$18, cm^{2}$

Explanation

To find the area of a triangle, you must multiply $\frac{1}{2}$ by the base (12 cm) by the height (6 cm):

$\frac{12: cm}{2}\times6 : cm=36: cm^{2}$

Therefore the area of this triangle is $36: cm^{2}$ .

5

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

Explanation

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

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

6

Screen_shot_2014-01-06_at_12.34.19_pm

What is the area of the triangle?

24

48

60

28

30

Explanation

The formula to find the area of a triangle is $\frac{base \times height}{2}$ .

$A = \frac{6\times 8}{2}=24$

7

Screen_shot_2014-01-10_at_1.07.49_pm

What is the area of the triangle?

Explanation

The formula to find the area of a triangle is

$\frac{base \times height}{2}$

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

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

8

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

Explanation

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

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

9

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

$\frac{1}{2}$

$\frac{1}{4}$

$\frac{1}{3}$

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.

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

10

Find the area of the triangle.

What is the area of the triangle with a base of 4cm and a height of 14cm.

$28cm^{2}$

$56cm^{2}$

$18cm^{2}$

Explanation

First you must understand that area of a triangle is $\frac{1}{2}$ base times height.

$\frac{1}{2}$ $\times4=2cm$

$2cm\times14cm=28cm^{2}$

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