Question

if the sides of a triangle are 7, 24, and 25, is it a right triangle?
no
yes

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 7\), \(b = 24\), \(c = 25\)

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

\(7^{2}+24^{2}=49 + 576=625\)

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

\(25^{2}=625\)

Step4: Compare results

Since \(7^{2}+24^{2}=25^{2}\), it is a right - triangle.

Answer:

yes