Question

a triangle has sides with lengths of 10 meters, 14 meters, and 19 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

Longest side \(c = 19\), \(a = 10\), \(b = 14\).

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

\(10^2 + 14^2 = 100 + 196 = 296\).

Step4: Calculate \(c^2\)

\(19^2 = 361\).

Step5: Compare results

\(296
eq 361\), so not a right triangle.

Answer:

no