The give side measures are 4, 6, 9.

Since the measure of the longest side is 9, So let c = 9, a = 4 and b = 6.

Then apply pythagorean theorem: .

                               (Substitute c = 9, a = 4 and b = 6)

Evaluate powers: .

                                     (Add: 16 + 36 = 52)

Since , the triangle is not right triangle.

The measures , the triangle is not right triangle.