Question

The base of a triangle is 4cm greater than the height. The area is 48 cm^2. Find the height and lenght of the base.

Answer 1

A = (bh)/2


A = ((h+4)h)/2


A = (h(h+4))/2


48 = (h(h+4))/2


48*2 = h(h+4)


96 = h(h+4)


96 = h^2+4h


0 = h^2+4h-96


h^2+4h-96 = 0


(h-8)(h+12)=0


h-8 = 0 or h+12 = 0


h = 8 or h = -12 (throw out negative answer)


So the height is 8 cm


The base is b = h+4 = 8+4 = 12 cm

Answer 2

okay thanks !