Question 820921: the base of a triangle is 4 inches less than twice its height. if the area of the triangle is 360 square inches, what is the base of the triangle?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
h = x
b = 2x - 4
360 = (2x - 4)x/2
720 = (2x - 4)x
2xx - 4x - 720 = 0
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the above quadratic equation is in standard form, with a=2, b=-4, and c=-720
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
2 -4 -720
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
x = 20
x = -18
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b = 2x - 4
b = 2(20) - 4
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answer:
base = 36 in
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