Question

a triangle has sides with lengths of 36 millimeters, 38 millimeters, and 14 millimeters. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with sides \(a\), \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 14\), \(b = 36\) and \(c = 38\) (assuming \(c\) is the longest side).

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

\(a^{2}+b^{2}=14^{2}+36^{2}=196 + 1296=1492\).

Step3: Calculate \(c^{2}\)

\(c^{2}=38^{2}=1444\).

Step4: Compare

Since \(1492
eq1444\), i.e., \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no