SOLUTION: The base of a triangle is 11 cm more than its height. The area is 90cm^2. What is the measure of the height?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The base of a triangle is 11 cm more than its height. The area is 90cm^2. What is the measure of the height?      Log On


   

Question 282516: The base of a triangle is 11 cm more than its height. The area is 90cm^2. What is the measure of the height?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=BH/2
90=(H+11)H/2
90=(H^2+11H)/2
H^2+11H=90*2
H^2+11H-180=0
(H+20)(H-9)=0
H-9=0
H=9 ANS. FOR THE HEIGHT.
9+11=20 ANS. FOR THE BASE.
PROOF:
90=9*20/2
90=180/2
90=90