Problema Solution

A triangle has an area of 36 square feet. If the height of thr triangle is 6 feet more than its base, what are its height and base?

Answer provided by our tutors

h= b(base + 6)  b= b

Area of triangle = 1/2 bh

 

36 square feet = 1/2 (b) ( b + 6)

36 = (b^2 +6b) / 2

x 2                  x 2

_________________________

72 = b^2 + 6b

72 = b(b + 6)

        6 x 12 = 72 so

b = 6 , the h = b + 6 = 12feet