Question

is a triangle with these sides a right triangle? 8, 15, 17 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 the values

Let \(a = 8\), \(b = 15\), \(c = 17\). Calculate \(a^{2}+b^{2}\): \(8^{2}+15^{2}=64 + 225=289\). Calculate \(c^{2}\): \(17^{2}=289\).
Since \(8^{2}+15^{2}=17^{2}\), the triangle satisfies the Pythagorean theorem.

Answer:

yes