Find a primitive Pythagorean triple (a, b, c) with b= 4T5 . Do the same for b= 4T6 and for b= 4T7 b) Do you think that for every triangular number Tn , there is a primitive Pythagorean triple (a, b, c) with b= 4Tn . If you believe that this is true, then prove it. Otherwise find some triangular number for which it is not true.

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