Question

The base of a triangle is three times it's height. If the area of a triangle is 54 square inches, find its height

Answer 1

Answer:

The height of triangle is $6\ in$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=(1/2)bh$

In this problem we have

$b=3h$

$A=54\ in^{2}$

substitute in the formula and solve for h

$54=(1/2)(3h)h$

$108/3=h^{2}$

$h^{2}=36$

$h=6\ in$