Question 817911: The height of a triangle sail is 5 feet more than twice it's base. If the sail is made of 125 sq ft of fabric what is height and base?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! h = 2b + 5
a = (1/2)bh
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125 = (1/2)bh
125 = (1/2)b(2b + 5)
250 = 2bb + 5b
2bb + 5b - 250 = 0
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2x^2 + 5x - 250 = 0
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the above quadratic equation is in standard form, with a=2, b=5, and c=-250
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to solve the quadratic equation, plug this:
2 5 -250
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
b = 10
b = -12.5
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the negative root doesn't make sense for a length, so use the positive root:
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Answer:
b = 10 ft
h = 25 ft
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