Question

a triangle has sides with lengths of 41 miles, 50 miles, and 30 miles. is it a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 30\), \(b=41\), \(c = 50\).
Calculate \(a^{2}+b^{2}\): \(30^{2}+41^{2}=900 + 1681=2581\)
Calculate \(c^{2}\): \(50^{2}=2500\)
Since \(2581
eq2500\), it does not satisfy the Pythagorean theorem.

Answer:

no