Suppose that the area of a triangle is 288 square feet, and the base is 4 times the height. Find the base of the triangle, in feet.

Answer 1

The area of a triangle = 1/2 *base*height (1/2 bh)

Here the base is 4*height (b=4h or h=b/4

Given: 1/2 bh = 288 sq. ft.

substituting for h we have 1/2 b*(b/4) = 288

(b^2)/8 = 288

b^2 = 2304

b = sqrt(2304) = 48 ft