Question 929922: the height of a triangle is three more than four times the base. if the area of the triangle is 38 ft squared find the base and the height
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! a = bh/2
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h = 4b + 3
38 = bh/2
38 = b(4b + 3)/2
38*2 = b(4b + 3)
4bb + 3b - 76 = 0
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the above quadratic equation is in standard form, with a=4, b=3 and c=-76
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
4 3 -76
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 = 4
b = -4.75
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the negative root doesn't fit the problem statement, so use the positive root:
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b = 4
h = 4b + 3
h = 4*4 + 3
h = 19
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answer:
b = 4 ft
h = 19 ft
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