Question

a triangle has sides with lengths of 15 feet, 36 feet, and 39 feet. is it a right triangle? yes no

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 15\), \(b=36\), \(c = 39\).
Calculate \(a^{2}+b^{2}\):
\(15^{2}+36^{2}=225 + 1296\)
\(=1521\)
Calculate \(c^{2}\):
\(39^{2}=1521\)

Answer:

yes