Question

a triangle has sides with lengths of 70 centimeters, 42 centimeters, and 56 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. Here, \(c = 70\), \(a = 42\), \(b = 56\).

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

\(42^2 + 56^2 = 1764 + 3136 = 4900\)

Step3: Calculate \(c^2\)

\(70^2 = 4900\)

Step4: Compare results

Since \(42^2 + 56^2 = 70^2\), the triangle satisfies the Pythagorean theorem.

Answer:

yes