SOLUTION: The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.

Algebra ->  Triangles -> SOLUTION: The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.      Log On


   

Question 1006768: The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The base of a triangle is 4 more than twice its height. If the area of the triangle is 78 square centimeters, find its base and height.
---------------------------------------------------------------- 
Let b be the size of the base and h is the size of the height.

Then 

b = 2h + 4,      (1)

%281%2F2%29%2Ab%2Ah = 78.   (2)

To solve it, substitute (1) into (2). You will get

(h+2)*h = 78,

h%5E2+%2B+2h+-+78 = 0.

Apply the quadratic formula to find h.