Question

a triangle has sides with lengths of 48 yards, 27 yards, and 37 yards. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with sides \(a\), \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 27\), \(b = 37\) and \(c = 48\) (assuming \(c\) is the longest side).

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

\(a^{2}+b^{2}=27^{2}+37^{2}=729 + 1369=2098\)

Step3: Calculate \(c^{2}\)

\(c^{2}=48^{2}=2304\)

Step4: Compare

Since \(2098
eq2304\), \(a^{2}+b^{2}
eq c^{2}\).

Answer:

no