Chapter 1.1, Problem 106AE

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.)

$P_1=\left(7,2\right);P_2=\left(-4,0\right);P_3=\left(4,6\right)$