The base of a triangle is 3 meters longer than the height of the triangle. If the area of the triangle is 90 square meters, what are the base and height of the triangle?

Answer 1

For a triangle:

Area = (1/2)·base·height

90 = (1/2)(h+3)h

180 = h² + 3h

0 = h² + 3h - 180

Solve for h by factoring (it does factor) or using the quadratic formula. You'll get two answers, one positive and one negative. Since you can't have a negative length, the positive answer is the correct one. Once you have h, base = h+3. The units are meters.