SOLUTION: the area of a triangle is 27 square inches. if the height is 3 inches less than two times the base, determine the height and base of the triangle

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Question 297756: the area of a triangle is 27 square inches. if the height is 3 inches less than two times the base, determine the height and base of the triangle
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
A=(bh)/2
27=(b(2b-3))/2
54 = 2b^2-3b

2b^2-3b-54=0

(2b+9)(b-6)=0

2b+9=0 or b-6=0
b=-9/2 or b=6

Answer: base = 6, height = 9