the base of a triangle is 3 ft more than the height. If the area is 14ft^2, find the base and the height.

Question

applications of quadratic equations homework question

Answer 1

A = bh/2

b = h + 3

A = 14

14 = (h + 3)h/2

28 = h² + 3h

h² + 3h - 28 = 0

(h + 7)(h - 4) = 0

h positive ⇒

h = 4 ft

b = h + 3 = 4 + 3 = 7 ft