Question

a triangle has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\) where \(c\) is the longest side. Here, \(a = 8\), \(b = 15\), \(c = 17\).

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

\(8^2 + 15^2 = 64 + 225 = 289\)

Step3: Calculate \(c^2\)

\(17^2 = 289\)

Step4: Compare results

Since \(8^2 + 15^2 = 17^2\), the triangle is right - angled.

Answer:

yes