Question

The base of a triangle is 44 cm greater than the height. the area is 30 cmsquared2. find the height and the length of the base.

Answer 1

Area = 1/2 b * h
30 cm^2 = 1/2 * (h + 44)(h)
60 = h^2 + 44h
h^2 + 44h - 60 = 0

Using the quadratic formula
h = 1.24
b = 45.24
or
h = -45.32 which is impossible.