In Problems $59-62,$ find the length of each side of the triangle determined by the three points $P_{1}, P_{2},$ and $P_{3}$. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.)
$$P_{1}=(7,2) ; \quad P_{2}=(-4,0) ; \quad P_{3}=(4,6)$$