Question

a triangle has sides with lengths of 16 inches, 63 inches, and 65 inches. 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, \(a = 16\), \(b = 63\), \(c = 65\).

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

\(16^2 + 63^2 = 256 + 3969 = 4225\)

Step3: Calculate \(c^2\)

\(65^2 = 4225\)

Step4: Compare results

Since \(16^2 + 63^2 = 65^2\), the triangle satisfies the Pythagorean theorem.

Answer:

yes