The base of a triangle is 5cm less than the height. The area is 52cm^2. Find the base and height.

Question

This is to be done by solving equations using the zero product property 

Answer 1

Let h = height (ALTITUDE) and so the base will be h - 5.

Area = ½•base•height

52 = ½•(h-5)•h

104 = h² - 5h

h² - 5h - 104 = 0 ... now you solve this quadratic equation by factoring, if possible, by quadratic formula, otherwise.