A Pythagorean triple is a set of 3 positive integers for sides a and b and hypotenuse c that satisfy the Pythagorean Theorem formula a 2 b 2 = c 2 The smallest known Pythagorean triple is 3, 4, and 5Integral solutions to the Pythagorean Theorem, ${{a}^{2}}{{b}^{2}}={{c}^{2}}$ are called Pythagorean triplet which contains three positive integers $a,b,c$ where $a < b < c$ Now, we check all of the given options 1) $3, 4, 5$ In this case $3 < 4 < 5$ so, $a=3, b=4$ and $c=5$ Then, $\begin{align} & {{a}^{2}}{{b}^{2}}={{3}^{2}}{{4}^{2}}=916=25 \\ & A Pythagorean triple is three positive integers a, b, and c, such that a^2 b^2 = c^2 A well known Pythagorean triplet is (3,4,5) If (a, b, c) is a Pythagorean triplet, then so is (ka, kb, kc) for any positive integer k
Find The Pythagorean Triplets From Among The Following Set Of Numbers 3 4 5
