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
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:
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.