SOLUTION: The area of a triangle is 51 square feet. The base is 1 foot less than 3 times the height. Find the base and height of the triangle.

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Question 323798: The area of a triangle is 51 square feet. The base is 1 foot less than 3 times the height. Find the base and height of the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a triangle is ,
A=%281%2F2%29bh
%281%2F2%29%283h-1%29h=51
%283h-1%29h=102
3h%5E2-h-102=0
%283h%2B17%29%28h-6%29=0
Only the positive answer makes sense for this problem.
h-6=0
highlight%28h=6%29
b=3%286%29-1
highlight%28b=17%29