Question

The height of atriangle is 6cms more than the base.area of the triangle is 108cm2 . find the length of the base

Answer 1

Solution:
Let base be x cm
Height =x+6
Area=1/2* base * height
108 = 1/2*x*(x+6)
108*2 = x^2 + 6x
x^2 + 6x -216=0
x^2 +18x-12x-216=0
x(x+8)-12(x+8)=0
(x+8)(x-12)=0
x+8=0 , x-12=0
x=-8 , x=12
Final answer : Base = x = 12 cm.