Question

a triangle has sides with lengths of 52 centimeters, 70 centimeters, and 42 centimeters. 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 the sides

Let \(a = 42\), \(b = 52\), and \(c = 70\).

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

\(a^{2}+b^{2}=42^{2}+52^{2}=1764 + 2704=4468\).

Step4: Calculate \(c^{2}\)

\(c^{2}=70^{2}=4900\).

Step5: Compare

Since \(4468
eq4900\), \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no