Question

a triangle has sides with lengths of 16 meters, 30 meters, and 34 meters. 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: Identify sides

Let \(a = 16\), \(b = 30\), \(c = 34\).

Step3: Calculate \(a^2 + b^2\)

\(16^2 + 30^2 = 256 + 900 = 1156\).

Step4: Calculate \(c^2\)

\(34^2 = 1156\).

Step5: Compare results

Since \(16^2 + 30^2 = 34^2\), it satisfies the Pythagorean theorem.

Answer:

yes