Atriangle has measurements of 36 ft, 48 ft, and 62 ft. is this a right triangle? why or why not?

No, the triangle is not a right triangle.

The Pythagorean theorem states that a^2+b^2=c^2 if the triangle is a right triangle.
36^2+48^2=3600
62^2=3844
3600 does not equal 3844

Therefore, the triangle is not a right triangle