Chapter F.1, Problem 58AYU

In Problems 103-106, 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.)

$P_1=(-1,4);P_2=(6,2);P_3=(4,-5)$