Question

The height of a triangle is eight centimeters more than twice the base, and the area of the triangle is 285 cm2. Find the height and base of the triangle.

Answer 1

Base = 15
Height = 38

You can get this by setting the base equal to x and the height equal to 2x + 8. Then multiply together and set equal to 285. To solve, solve for 0 and then use the quadratic formula. You'll get two answers, but the negative one is an extraneous solution.