SOLUTION: Please help me solve this: A 100 m by 100 m square lot is divided into 5 parts of equal areas. One part is a square at the middle, while the other 4 parts are equal right triang

Algebra ->  Rectangles -> SOLUTION: Please help me solve this: A 100 m by 100 m square lot is divided into 5 parts of equal areas. One part is a square at the middle, while the other 4 parts are equal right triang      Log On


   



Question 936390: Please help me solve this:
A 100 m by 100 m square lot is divided into 5 parts of equal areas. One part is a square at the middle, while the other 4 parts are equal right triangles. Find the lengths of the sides of each triangular part.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

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Each leg of the triangle has length 50m.
Using the Pythagorean theorem,
S%5E2=50%5E2%2B50%5E2
S%5E2=2%2850%5E2%29
S=50sqrt%282%29
So the triangles have length, 50, 50, and 50sqrt%282%29.