Question

is this triangle a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

For a triangle with sides \(a\), \(b\), \(c\) (\(c\) is the longest side), check if \(a^{2}+b^{2}=c^{2}\). Here \(a = 10\), \(b = 24\), \(c = 25\).
Calculate \(a^{2}+b^{2}\): \(10^{2}+24^{2}=100 + 576=676\).
Calculate \(c^{2}\): \(25^{2}=625\).

Step2: Compare results

Since \(676
eq625\) (\(10^{2}+24^{2}
eq25^{2}\)).

Answer:

no