SOLUTION: One end of the glass prism is in the shape of a triangle with the height that is 1 inch longer than twice the base. If the area of the triangle is 39 square inches, then how long a

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Question 953943: One end of the glass prism is in the shape of a triangle with the height that is 1 inch longer than twice the base. If the area of the triangle is 39 square inches, then how long are the base and height?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
base = b
height = 2b + 1

area = (b)(2b+1)/2 = 39
(b)(2b+1) = 78
2b^2 + b - 78 = 0
(b-6)(2b+13) = 0

Distance can't be negative, so the base is 6 inches and the height is 13 inches.