SOLUTION: A triangle has area of 35 square meters. The altitude of the triangle is 3 meters shorter than the base. Find the altitude and the base of the triangle ?

Question 931252: A triangle has area of 35 square meters. The altitude of the triangle is 3 meters shorter than the base. Find the altitude and the base of the triangle ?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
a = bh/2
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bh/2 = 35
bh = 35*2
bh = 70
h = b - 3
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bh = 70
b(b - 3) = 70
bb - 3b - 70 = 0
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the above quadratic equation is in standard form, with a=1, b=-3 and c=-70
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 -3 -70
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 = 10
b = -7
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the negative root doesn't fit the problem statement, so use the positive root:
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b = 10
h = b - 3
h = 7
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answer:
b = 10 meters
h = 7 meters
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