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If (p,15, 17) are Pythagorean triples, find the value of p.

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Using the Pythagoras theorem formula, let us substitute the values in the equation: c2 = a2 + b2, where a = p, b = 15, c = 17. (Since hypotenuse is the longest side, we have taken c = 17)

c2 = a2 + b2

172 = p2 + 152

289 = p2 + 225

p2 = 64

p = 8

Therefore, the value of p = 8.

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