SOLUTION: the area of a triangle is 30 in. The base of the triangle measures 2in more than twice the height of the triangle. Find the measures of the base and height

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the area of a triangle is 30 in. The base of the triangle measures 2in more than twice the height of the triangle. Find the measures of the base and height       Log On


   

Question 1003851: the area of a triangle is 30 in. The base of the triangle measures 2in more than twice the height of the triangle. Find the measures of the base and height
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
b=base
2h=b-2
h=(b-2)/2
A=(1/2)bh
=b*(b-2)/4=30
(b^2-2b)/4=30
b^2-2b=120
b^2-2b-120=0
(b-12)(b+10)=0
b=12 in
h=5 in
A=(1/2)bh=(1/2)*60=30 in^2