Question

which of the following is not a pythagorean triple? * 1 point 3, 4, 5 5, 12, 13 7, 26, 27 9, 40, 41

Explanation:

Step1: Check Pythagorean theorem for \(3,4,5\)

For a Pythagorean triple \((a,b,c)\), \(a^{2}+b^{2}=c^{2}\).
\(3^{2}+4^{2}=9 + 16=25=5^{2}\)

Step2: Check Pythagorean theorem for \(5,12,13\)

\(5^{2}+12^{2}=25+144 = 169=13^{2}\)

Step3: Check Pythagorean theorem for \(7,26,27\)

\(7^{2}+26^{2}=49+676=725\), and \(27^{2}=729\). Since \(7^{2}+26^{2}
eq27^{2}\)

Step4: Check Pythagorean theorem for \(9,40,41\)

\(9^{2}+40^{2}=81 + 1600=1681=41^{2}\)

Answer:

\(7,26,27\)