SOLUTION: A triangle and a square have the same base and equal areas. If the length of the common base is x and the height of the triangle is h, what is the height of the triangle in terms o

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Question 302182: A triangle and a square have the same base and equal areas. If the length of the common base is x and the height of the triangle is h, what is the height of the triangle in terms of x?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the square with side = x is:
A%5Bs%5D+=+x%5E2
The area of the triangle with base = x and height = h is:
A%5Bt%5D+=+%281%2F2%29xh
These two areas are equal, so...
A%5Bs%5D+=+A%5Bt%5D
x%5E2+=+%281%2F2%29xh Solve for h. Divide both sides by x.
x+=+%281%2F2%29h Multiply both sides by 2.
highlight%28h+=+2x%29