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## Homework Statement

Take an Isosceles triangle with a height of 10 and draw a line parallel to the base. How far from the top of the triangle does the drawn line have to be for the top half's area to equal the bottom half's area.

## Homework Equations

The area of a triangle [tex]A=\frac{bh}{2}[/tex]

The area of a trapezoid [tex]A=\frac{h(b_{1}+b_{2})}{2}[/tex]

## The Attempt at a Solution

Nothing Major, I know the top half of the triangle (the one created by the line drawn through) is similar to whole triangle, but thats about it.

Thanks in Advance

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