SOLUTION: The height of a triangle is twice the base. The area is 100 square inches. Find the base.

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Question 468954: The height of a triangle is twice the base. The area is 100 square inches. Find the base.

Answer by ccs2011(207) About Me  (Show Source):
You can put this solution on YOUR website!
Let the base equal x.
Then the height equals 2x.
Area of triangle = %281%2F2%29b%2Ah
Therefore
100+=+%281%2F2%29x%2A2x
Multiply right side, 2/2=1, x*x=x^2
100+=+x%5E2
Take square root of both sides
10+=+x
The length of the base is 10