Question 816932: [ The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle. (Area is one half the base times the height). ]
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! h = 2b + 4
b = (h - 4)2
b = 2h - 8
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a = (1/2)bh = 35
bh = 70
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bh = 70
(2h - 8)h = 70
2h^2 - 8h - 70 = 0
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the above quadratic equation is in standard form, with a=2, b=-8, and c=-70
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to solve the quadratic equation, plug this:
2 -8 -70
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots of the quadratic are:
h = 8.244998
h = -4.244998
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the negative root doesn't make sense for a length, so use the positive root:
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Answer:
height = 8.244998 inches
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