Question 930169: I need help with this question, please. The base of a triangle exceeds the height by 9 inches. If the area is 266 square inches, find the length of the base and the height of the triangle.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! b = h + 9
a = bh/2 = 266
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bh/2 = 266
bh = 266*2
(h + 9)h = 266*2
hh + 9h = 532
hh + 9h - 532 = 0
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the above quadratic equation is in standard form, with a=1, b=9 and c=-532
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 9 -532
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the quadratic has two real roots at:
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h = 19
h = -28
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the negative root doesn't fit the problem statement, so use the positive root:
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h = 19
b = h + 9
b = 28
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answer:
h = 19 inches
b = 28 inches
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