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

Answer:

Option (d) is correct.

The height of given triangle is 12 inches.

Step-by-step 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 = $\frac{1}{2} \times base\times height$

Rearrange for height

Multiply both side by $\frac{2}{base}$

We get,

$\text{Area of triangle}\times \frac{2}{base}=height$

Given : Area = 36 inches²

and base = 6 inches

substitute, we have,

$36\times \frac{2}{6}=height$

Simplify, we have,

Height = 12 inches

Thus, The height of given triangle is 12 inches.