Q4 of 33 Page 161

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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