Question 1012778
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Verify that the triangle with vertices P(-3,2) Q(2,5) and R(2,-1) is an isosceles triangle. find the midpoint M, of the side PR and the midpoint, N, of the side PQ
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The segment PQ has coordinates (5,3). 
The square of its length is {{{5^2 + 3^2}}} = 25 + 9 = 34.


The segment PR has coordinates (5,-3). 
The square of its length is {{{5^2 + (-3)^2}}} = 34.


Since |PQ| = |PR|, the triangle PQR is isosceles.


midpoint M = (-0.5,0.5).
midpoint N = (-0.5,3.5).