SOLUTION: The area of a triangular sheet of paper is 27 square inches. One side of the triangle is 12 inches more than two times the length of the altitude to that side. Find the length of t

Algebra ->  Triangles -> SOLUTION: The area of a triangular sheet of paper is 27 square inches. One side of the triangle is 12 inches more than two times the length of the altitude to that side. Find the length of t      Log On


   

Question 900230: The area of a triangular sheet of paper is 27 square inches. One side of the triangle is 12 inches more than two times the length of the altitude to that side. Find the length of that side and the altitude to that side.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h for the altitude.
b for the base. This one "one side of the triangle".
b=12+2h.
(1/2)b*h=27, using formula for area of a triangle.

%281%2F2%29%282h%2B12%29h=27
%28h%2B6%29h=27
h%5E2%2B6h=27
h%5E2%2B6h-27=0
%28h-3%29%28h%2B9%29=0
highlight%28h=3%29
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b=2h%2B12
b=2%2A3%2B12
b=6%2B12
highlight%28b=18%29