,@HH(FG(HH(d'@xxxxL $ %Unit 14 Powers and RootsL $ 0 Lab "4" Proof of Pythagorean Theorem L $ L $  Equipment : AcculineL $ L $ Statement of Problem:  The Pythagorean Theorem states that for any right triangle, the sum of the squares of the legs equals the square of the hypotenuse. In this activity you examine this idea for several right triangles using an acculine, stri ng, ruler, and flat surface.L $ L $ o Procedure : Develop a right angle with the acculine using 3" height and 4" base. Measure hypotenuse.L $ L $  a. Make a square thats side 3" , side 4" , side 5". Show relationship (Pythagorean relationship) by counting squares in each.L $ L $ M b. Repeat using smaller squares on acculine - 5,12,13.L $ I Show relationship by counting squares in each.L $  L $ Z c. Draw right triangle - 3,4,5. Label short side 'a' &'b' and long L $ $ side 'c'.L $ = Draw square using 'a' as one side.L $ < Draw square using 'b' as one sideL $ < Draw sqaure using 'c' as one sideL $ L $ A Conclusion: Show development of Pythegorean Theorem.