Question

is the following triangle a right triangle?
yes
no

Explanation:

Step1: Apply Pythagorean theorem

For a triangle with sides \(a\), \(b\), \(c\) (\(c\) is the longest side), if \(a^{2}+b^{2}=c^{2}\), it is a right - triangle. Here \(a = 9\), \(b = 12\), \(c = 15\).
Calculate \(a^{2}+b^{2}\): \(9^{2}+12^{2}=81 + 144=225\)
Calculate \(c^{2}\): \(15^{2}=225\)

Answer:

Yes