SOLUTION: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the triangle and the length of the base.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the triangle and the length of the base.      Log On


   

Question 1173186: The height of a triangle is 2 m more than twice the length of the base. The area of the triangle is 30 m2. Find the height of the triangle and the length of the base.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

The height of a triangle is 2 m more than twice the length of the base (x)

b is x 

h is (2x+2)

A = (1/2)b*h

30m^2 = (1/2)x(2x+2)

60 = 2x^2 + 2x

2x^2 + 2x - 60 = 0

Solve with the Pythagorean Theorem

Tossing out negative solution for length

x+=+%28-2+%2B+sqrt%284%2B480%29%29%2F%284%29+=+%28-2+%2B+22%294+=+5  

x = 5m , the length

h =  (2x+2) = 12m

checking our Answer:

(5m)(12m) = 60m^2  Checks!

Wish You the Best in your Studies.