SOLUTION: A triangle has a base of X + 3, the height is X + 6 and the area is 135. Find X ________, Base ________ Ht _________ Please be specific.

Algebra ->  Rectangles -> SOLUTION: A triangle has a base of X + 3, the height is X + 6 and the area is 135. Find X ________, Base ________ Ht _________ Please be specific.      Log On


   



Question 565554: A triangle has a base of X + 3, the height is X + 6 and the area is 135.
Find X ________, Base ________ Ht _________
Please be specific.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle has a base of X + 3, the height is X + 6 and the area is 135.
Find X ________, Base ________ Ht _________
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Area = (1/2)base*height
135 = (1/2)*(x+3)(x+6)
270 = x^2+9x+18
x^2+9x-252 = 0
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Factor:
(x-12)(x+21) = 0
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Positive solution:
x = 12
Base = x+3 = 15
Height = x+6 = 18
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Cheers,
Stan H.
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