Will medal and fan: Try to fill in the blanks to create other pythagorean triples:
a. 9,__,__
b. 11,__,__
c. 13,__,__

alright so I know how to get the third blank but how do I know the 2nd blank?? I have the answer key

Question

Will medal and fan:  Try to fill in the blanks to create other pythagorean triples:
a. 9,__,__
b. 11,__,__
c. 13,__,__

alright so I know how to get the third blank but how do I know the 2nd blank?? I have the answer key

miracrown · Answer

http://www.tsm-resources.com/alists/trip.html

danjs · Answer

oh, has to be integers

danjs · Answer

no roots, only integers

miracrown · Answer

yep

miracrown · Answer

@SkepticGod -  You can find the list of pythagorean triples on the link I sent to you.

anonymous · Answer

well i can't just pick for the second blank 
the answers were:
a. 9,40,41
b. 11,60,61
c. 13,84,85

danjs · Answer

9, 12, 15  works for a also

miracrown · Answer

$$11^{2} + b ^{2} = c ^{2} \space => 11^{2}  (c-b) \space (c+b)$$

miracrown · Answer

both c-b and c+b are factors of 11^2. We know that 1, 11, 11^2 are all possible factors of 11^2.

miracrown · Answer

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