Question

which is not a pythagorean triple? 16,30,34 8,15,17 24,45,51 4,7,8

Explanation:

Step1: Recall Pythagorean theorem

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

Step2: Check \(16,30,34\)

\(16^{2}+30^{2}=256 + 900=1156\), \(34^{2}=1156\). So \(16^{2}+30^{2}=34^{2}\).

Step3: Check \(8,15,17\)

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

Step4: Check \(24,45,51\)

\(24^{2}+45^{2}=576+2025 = 2601\), \(51^{2}=2601\). So \(24^{2}+45^{2}=51^{2}\).

Step5: Check \(4,7,8\)

\(4^{2}+7^{2}=16 + 49=65\), \(8^{2}=64\). So \(4^{2}+7^{2}
eq8^{2}\).

Answer:

\(4,7,8\) is not a Pythagorean triple.