Problem: A regular octagon is to be formed by cutting equal isosceles right triangles from the corners of a square. If the square has sides of one unit, the leg of each of the triangles is:
Answer Choices:
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E.
Solution:
Let be the length of one of the legs of the isosceles triangle. Then a side of the square is given by and this side must equal the hypotenuse of the triangle (to form a regular octagon).