Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle
Let us assume that points (5, - 2), (6, 4), and (7, - 2) are representing the vertices A, B, and C of the given triangle respectively
AB = [(5- 6)2 + (-2- 4)2]1/2
= 
= 
BC = [(6- 7)2 + (4+ 2)2]1/2
= 
= 
CA = [(5- 7)2 + (-2+ 2)2]1/2
= 
= 2
Therefore, AB = BC
As two sides are equal in length, therefore, ABCis an isosceles triangle
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