SOLUTION: The base of a triangle exceeds the height by 4 meters. If the area is 126 square meters, find the length of the base and the height of the triangle.

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Question 1031662: The base of a triangle exceeds the height by 4 meters. If the area is 126 square meters, find the length of the base and the height of the triangle.
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
The area of a triangle is given by

In our problem, b = h + 4 and A = 126...let's plug that in and solve for the height...we get



We can factor this and get

so that
h = 14 m and that means the base is
b = h+4 = 18 m
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