Question

check whether 5 - 2 6, 4 and 7 - 2 are the vertices of an isosceles triangle​

Answer 1

Step-by-step explanation:

Apply distance formula on all the vertices taking 2 at a time . If 2 of the distances are equal then it is an isosceles triangle . Refer to attachment .

Answer 2

Answer:

Put:     A = ( 5, -2 )        B = ( 6, 4 )        C = ( 7, -2 )

Method 1   ---  Calculating lengths

AB = √( (6 - 5)² + (4 - -2)² ) = √( 1² + 6² ) = √37

BC = √( (6 - 7)² + (4 - -2)² ) = √( 1² + 6² ) = √37

As AB = BC, the triangle ABC is isosceles