Question

which is a pythagorean triple?
7,14,15
4.5,12,13
8,15,17
3,8,11

Explanation:

Step1: Recall Pythagorean theorem

For a set of numbers \(a,b,c\) (\(c\) is the largest), check if \(a^{2}+b^{2}=c^{2}\).

Step2: Check \(7,14,15\)

\(7^{2}+14^{2}=49 + 196=245\), \(15^{2}=225\), \(245
eq225\).

Step3: Check \(4.5,12,13\)

Since Pythagorean triples are positive - integer sets, \(4.5\) (non - integer) disqualifies this set.

Step4: Check \(8,15,17\)

\(8^{2}+15^{2}=64 + 225=289\), \(17^{2}=289\).

Step5: Check \(3,8,11\)

\(3^{2}+8^{2}=9 + 64=73\), \(11^{2}=121\), \(73
eq121\).

Answer:

\(8,15,17\)