Problema Solution
the base of a triangle is 8cm greater then the heigth. the area is 42cm^2 what is the heigth and length of the base?
Answer provided by our tutors
Let height = x cm
Base = x+8 cm
Area = 1/2 * Base * Height = 42 cm^2
x(x+8) = 2*42
x^2 + 8x - 84 = 0
x^2 + 14 x - 6x - 84 = 0
x(x+14)-6(x+14) = 0
(x-6)(x+14)=0
x=6 or x=-14(-ve, rejected)
Height = 6cm
Base = x+8 = 14 cm