Unformatted text preview: (20, 21, 29) First you must understand the Pythagorean Theorem: Asqr.+Bsqr=Csqr. Draw a 30/60 degree triangle and make the hyp. side horizontal and the other two sides below. Place a same 30/60 degree Triangle to the right of the first triangle with the hyp. of the first and second connected to form a right angle and the other two parts of the second triangle to the right of the hyp. Continue this all the way around until you have the 4 hyps. forming an inner sguare and the other parts of the 4 triangles making a larger outer square. lable the Hyps. C, lable the sides othe triangle A & B. To find C square, find the area of the larger(a+b) x( a+b)square, and then subtract the area of the 4 triangles around Csqr., and you will have found that: (a+b)x(a+b)=(a sqr. +2ab +bsqr.) -2ab(area of the 4 triangles) ; +2ab and -2ab cancel each other out so you are left with asqr. + bsqr. being the area left which is Csquared. Work from there. ....
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- Spring '12
- Pythagorean Theorem, Right triangle, Hypotenuse, pythagorean triples, Pythagorean Theorem formula