Question

The height of a triangle is 6 m more than its base. The area of the triangle is 56 m2. Find the length of the base. 7 m 8 m 14 m 15 m

Answer 1

base = x
height = x+6


`(x(x+6))/(2)=56 \\ x(x+6)=56*2 \\ x^2+6x=112 \\ x^2+6x-112=0 \\ x^2+14x-8x-112=0 \\ x(x+14)-8(x+14)=0 \\ (x-8)(x+14)=0 \\ x-8=0 \ \ \ \ \ \ \ or \ \ \ \ \ \ x+14=0\\x=8 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-14 \ \ \ \O`

base = 8 m