Using Pythagorean theorem check whether 37, 12, and 34 form a right triangle.

By the Pythagorean theorem, , where c is the greater measure.

Since 37 is the greater measure, c = 37.

                             (Write the Pythagorean theorem)

          (Substitute )

             (Evaluate powers)

                         (Add: )

Since , the measures 37, 12, and 34 cannot form a right triangle.

Since they cannot be the measures of a triangle,

they do not form Pythagorean triple.

The sides with the measures 37, 12 and 34 cannot form a right triangle.

the measures 37, 12 and 34 do not form a Pthagorean triple.