SOLUTION: The area of a triangle is 77 inches and the base is 3 inches more then the hight what is the lenght of the Base?

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Question 276581: The area of a triangle is 77 inches and the base is 3 inches more then the hight what is the lenght of the Base?
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that the area of a triangle is:
A=%281%2F2%29bh
where b is the base and h is the height. We are told in this problem that A=77 and that b is 3 more than h. So we can represent b with h+3. Thus we have the equation:
77=%281%2F2%29%28h%2B3%29h
154=h%5E2%2B3h
h%5E2%2B3h-154=0
%28h%2B14%29%28h-11%29=0
So we have that h=-14 or h=11. Since we can't have negative measurements, h must be 11. This means that b is 14 (since b is 3 more than h).