Question

which of the following is not Pythagorian triplet
a)3,4,5
b)12,16,25
c)5,6,7
d)9,12,15​

Answer 1

Answer:

$\sf \: a)3,4,5 \\ \sf \: {3}^{2} + {4}^{2} = {5}^{2} \\ \sf \: 9 + 16 = 25 \\ \sf \: 25 = 25 \: \:$

$\sf\pink{b)12,16,25} \\ \sf \pink{ {12}^{2} + {16}^{2} = {25}^{2} } \\ \sf \pink{144 + 256 = 625} \\ \sf \pink{400 \cancel = 625}$

$\sf \: c)5,6,7 \\ \sf \: {5}^{2} + {6}^{2} = {7}^{2} \\ \sf \: 25 + 36 = 49 \\ \sf \: 61 \cancel = 49$

$\sf \pink{d)9,12,15} \\ \sf \pink{ {9}^{2} + {12}^{2} = {15}^{2} } \\ \sf \pink{81 + 144 = 225} \\ \sf \pink{225 = 225}$

therefore; b) and c) are not pythagorean triplets.

hope it helps you dear...