SOLUTION: Part of the set for a play is a triangular piece of plywood. The area of the triangle is 20 square feet. The base is 3 feet longer than the height. What is the height of the triang

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Part of the set for a play is a triangular piece of plywood. The area of the triangle is 20 square feet. The base is 3 feet longer than the height. What is the height of the triang      Log On

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Question 1065054: Part of the set for a play is a triangular piece of plywood. The area of the triangle is 20 square feet. The base is 3 feet longer than the height. What is the height of the triangle? Round your answer to the nearest tenth of a foot.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Triangle area, %281%2F2%29%2Ab%2Ah for base b and height h.
b=h%2B3, according to problem description.

%281%2F2%29%28h%2B3%29h=20

h%5E2%2B3h=40

h%5E2%2B3h-40=0

%28h-5%29%28h%2B8%29=0
The choice that makes sense is highlight%28h=5%29.