week 4 help

# week 4 help - (20 21 29 First you must understand the...

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Following completion of your readings, complete the Project #4 problem at the end of Chapter 10 in your textbook, Mathematics in Our World. The written paper should be one- to two-pages in length and concise in your reasoning. Make sure you select at least 5 more Pythagorean Triples. Show why your 5 sets of Pythagorean Triples work in the Pythagorean Theorem formula. ANY REFERENCES USED FOR THIS PAPER MUST BE CITED. Your paper should include a title, an introduction, body and conclusion. Best Answer - Chosen by Voters Pythagorean Triples are sets of (a,b,c) that work in the equation a^2+b^2=c^2. You can find any number of these, and you would show that they work by working out the problem itself. Say things like "the square of a plus the square of b is equal to the square of c". If you want to use references, I would suggest Chapter 10 of your textbook, since that's where your project is from. Here are some triples that work: (3, 4, 5) (5, 12, 13) (8, 15, 17) (7, 24, 25)
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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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