Question

a triangle has sides with lengths of 10 millimeters, 14 millimeters, and 19 millimeters. 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, \(a = 10\), \(b = 14\), \(c = 19\).

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

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

Step3: Calculate \(c^2\)

\(19^2 = 361\)

Step4: Compare results

Since \(296
eq 361\), the triangle is not right - angled.

Answer:

no