Question

a triangle has sides with lengths of 18 miles, 24 miles, and 30 miles. is it a right triangle? yes no

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side.

Step2: Substitute the values

Let \(a = 18\), \(b=24\), \(c = 30\).
Calculate \(a^{2}+b^{2}\): \(18^{2}+24^{2}=324 + 576=900\).
Calculate \(c^{2}\): \(30^{2}=900\).

Answer:

yes