Question

The area of the triangle is 42 square inches. find the value of x when a = x and b = (x+8)

Answer 1

6 and -14

Explanation:

Area of the triangle = 1/2 ab

42 = 1/2 (x)(x+8)

42 *2 = x(x+8)

84 = x²+8x

x²+8x-84 = 0

x²+14x-6x-84 = 0

x(x+14)-6(x+14) = 0

x-6 = 0 and x+14 = 0

x = 6 and -14

Hence the values of x are 6 and -14