Question

a triangle has sides with lengths of 5 meters, 14 meters, and 16 meters. is it a right triangle? yes no submit

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 \(a = 5\), \(b = 14\), \(c = 16\).

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

\(5^2 + 14^2 = 25 + 196 = 221\).

Step4: Calculate \(c^2\)

\(16^2 = 256\).

Step5: Compare results

Since \(221
eq 256\), the triangle is not right - angled.

Answer:

no