Answer:
h = 28 inches
Step-by-step explanation:
Let the base of the triangle is b.
the height of the triangle is 4 inches less than four times its base.
h = 4b-4
The area of the triangle is 112 inch².
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\112=\dfrac{1}{2}\times b\times (4b-4)[/tex]
It is a quadratic equation, whose solution is as follows :
b = -7 and b = 8 inches
Height, h = 4(8)-4
= 32-4
= 28 inches
Hence, the height of the triangle is 28inches.
