A triangle has an area of 77 square inches. How do you find the length of the base if the base is 3 inches more than the height?

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A triangle has an area of 77 square inches. How do you find the length of the base if the base is 3 inches more than the height?

1 Answer

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Answer 1 · 2016-01-08T13:03:10

Solve the quadratic equation to get $b = 14$ $b=14$

Explanation:

If the base of a triangle is $b$ $b$ and the height is $h$ $h$ , the area $A = \frac{1}{2} b h$ $A = 1/2bh$
In this example $h = b - 3$ $h = b-3$ and $A = 77$ $A = 77$
$:.77 = 1/2b(b-3)$
$154 = b^2 - 3b$
$b^2 - 3b - 154 = 0$

$154=77*2 = 7*11*2 = 11*14$
$11 -14 = -3$ so these are the factors we need

$(b-14)(b+11) = 0$
$b$ cannot be equal to $-11$ as we are dealing with a real entity (the triangle) so $b=14$

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A triangle has an area of 77 square inches. How do you find the length of the base if the base is 3 inches more than the height?

1 Answer

Explanation:

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