SOLUTION: The area of a triangle is 190 square feet.If the height is 11 less than the base, find the length of the height and base of the triangle.

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Question 904232: The area of a triangle is 190 square feet.If the height is 11 less than the base, find the length of the height and base of the triangle.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
b base
h height
A area
-
A=190
h=-11+b

%281%2F2%29b%2Ah=A,
%281%2F2%29b%28b-11%29=A
b%28b-11%29=2A
b%5E2-11b-2A=0

b%5E2-11b-380=0, substituted now, because want to find discriminant and possibly solve using method for general solution.
D=121%2B4%2A380=1641

highlight%28b=%2811%2Bsqrt%281641%29%29%2F2%29