Question

does the set of numbers represent a pythagorean triple. 10, 24, 26

Explanation:

Step1: Recall Pythagorean theorem

For a set of numbers \(a,b,c\) (\(c\) is the largest number), check if \(a^{2}+b^{2}=c^{2}\). Here \(a = 10\), \(b=24\), \(c = 26\).

Step2: Calculate \(a^{2}+b^{2}\)

\(a^{2}+b^{2}=10^{2}+24^{2}=100 + 576=676\)

Step3: Calculate \(c^{2}\)

\(c^{2}=26^{2}=676\)

Answer:

Yes