# Show that the triangle formed by the points A(5,-1),B(-3,2) and C(1,6) is an isosceles triangle

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X=5,Y=-1,x=-3,y=2

AB²=(X-x)²+(Y-y)²

=(5+3)²+(-1-2)²

=64+9

=73

AB=√73

Now X=-3,Y=2,x=1,y=6

BC²=(X-x)²+(Y-y)²

=(-3-1)²+(2-6)²

=16+16

=32

BC=√32

As AB≠BC

We will find AC

X=5,Y=-1,x=1,y=6

AC²=(5-1)²+(-1-6)²

AC²=16+49

AC=√65

Its not a isosceles triangle.