SOLUTION: The area of a triangle is 132in.squared. The base of the triangle measures 2 in. more than twice the height of the triangle. Find the measures of the base and height.

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Question 1116763: The area of a triangle is
132in.squared. The base of the triangle measures 2 in. more than twice the height of the triangle. Find the measures of the base and height.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The area is one-half base times height; and we are given that the base b is 2 more than twice the height. So
%281%2F2%29%28b%29%28h%29+=+132
%281%2F2%29%282h%2B2%29%28h%29+=+132
%28h%2B1%29%28h%29+=+132
h%5E2%2Bh+=+132
h%5E2%2Bh-132+=+0

That quadratic equation is solved rather easily, leading to the answers to the questions.