SOLUTION: A regular octagon with side length "a" cm can be made by cutting off the four corners of a square board. How long should the sides of the board be? Note: 45-45-90 Special triang

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Question 773264: A regular octagon with side length "a" cm can be made by cutting off the four corners of a square board. How long should the sides of the board be?
Note: 45-45-90 Special triangle

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
This set of steps really needs a drawing to make clear what it means, but
The side of the square is made of , where x is the unknown length leg of one of the 45-45-90 triangles. Hypotenuse of the 45-45-90 triangle is also length a. Pythagorean Theorem gives us ,




Side of square is then


----this picture is not finished-----
____near top of octagon________
not drawn to scale

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