Question

A triangle with an area of 370 square inches

has a height that is 6 less than 8 times its
base. Find the base and height, in inches, of
the triangle.

Base=
Height=

Answer 1

Explanation:

Area of triangle = 1/2 (base × height)

Given, area of a triangle is 192 sq ins. and its height is 8 ins less than its base.

Then, let base = b, height = b-8

Hence, 1/2 (b)*(b-8) = 192

Above equation; “times 2”,

(b)*(b-8) = 384

b^2 - 8b - 384 = 0

(b+16)(b-24)=0