Question

a triangle has sides with lengths of 48 meters, 60 meters, and 35 meters. is it a right triangle?

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem states that for a right - triangle with side lengths \(a\), \(b\), and \(c\) (where \(c\) is the longest side), \(a^{2}+b^{2}=c^{2}\).
Let \(a = 35\), \(b = 48\), and \(c = 60\).
Calculate \(a^{2}+b^{2}\):
\(35^{2}+48^{2}=1225 + 2304=3529\).
Calculate \(c^{2}\):
\(60^{2}=3600\).

Step2: Compare the values

Since \(3529
eq3600\) (i.e., \(35^{2}+48^{2}
eq60^{2}\)).

Answer:

no