Question

a triangle has sides with lengths of 3 centimeters, 4 centimeters, and 5 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.

Step2: Substitute values

Here, \(a = 3\), \(b = 4\), \(c = 5\). Calculate \(3^2 + 4^2 = 9 + 16 = 25\), and \(5^2 = 25\). Since \(3^2 + 4^2 = 5^2\), the triangle satisfies the Pythagorean theorem.

Answer:

yes