Question

the area of a triangle is 36 sq. inches. if the base of the triangle is 6 inches, what is its height? a. 15 inches b. 6 inches c. 3 inches d. 12 inches

Answer 1

a=1/2bh
b=6
a=36
36=1/2(6)(h)
36=3h
divide both sides by 3
12=h

height=12 inches

answer is D

Answer 2

Option (d) is correct.

The height of given triangle is 12 inches.

Explanation:

Given: The area of a triangle is 36 sq. inches. and the base of the triangle is 6 inches.

We have to find the height of the triangle.

We know,

Area of triangle =
`(1)/(2) * base* height`

Rearrange for height

Multiply both side by
`(2)/(base)`

We get,

`\text{Area of triangle}* (2)/(base)=height`

Given : Area = 36 inches²

and base = 6 inches

substitute, we have,

`36* (2)/(6)=height`

Simplify, we have,

Height = 12 inches

Thus, The height of given triangle is 12 inches.