Question

a triangle has sides with lengths of 3 yards, 4 yards, and 5 yards. is it a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem states that for a right - triangle with side lengths \(a\), \(b\), and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 3\), \(b=4\), and \(c = 5\).
Calculate \(a^{2}+b^{2}\):
\(3^{2}+4^{2}=9 + 16=25\)
Calculate \(c^{2}\):
\(5^{2}=25\)

Answer:

yes