SOLUTION: Height of a triangular sail is 2 meters less than twice of the base. If the area of the sail is 30 square meters find length of base and height

Question 942224: Height of a triangular sail is 2 meters less than twice of the base. If the area of the sail is 30 square meters find length of base and height
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
h = 2b - 2
a = bh/2
30 = b(2b - 2)/2
30 = 2bb/2 - 2b/2
bb - b - 30 = 0
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the above quadratic equation is in standard form, with a=1, b=-1 and c=-30
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -1 -30
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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the quadratic has two real roots at:
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b = 6
b = -5
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the negative root doesn't fit the problem statement, so use the positive root:
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b = 6
h = 2b - 2
h = 2*6 - 2
h = 10
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answer:
b = 6 m
h = 10 m
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