SOLUTION: The area of a triangle is 56ft^2. If the base is 9 ft more than the altitude, find the length of the base and the altitude.
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Question 166039: The area of a triangle is 56ft^2. If the base is 9 ft more than the altitude, find the length of the base and the altitude.
Answer by orca(409) (Show Source): You can put this solution on YOUR website!
Let x be the altitude, then the base is x + 9.
Its area is
As its area is 56, we have
Solving for x, we have
So
Or
(reject this negative root)
Thus the length of the altitude is 7, and the length of the base is x+9 = 7+9=16.
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