Question

1. Show that the following points from an isosceles triangle A(5,-2), B(6,4) and C(7,-2).​

Answer 1

Step-by-step explanation:

ANSWER

Let A(5,−2),B(6,4) and C(7,−2) are the vertices of triangle ABC

Distance between the points (x

1

,y

1

) and (x

2

,y

2

) is

(x

1

−x

2

)

2

+(y

1

−y

2

)

2

Now,

AB=

(5−6)

2

+(−2−4)

2

=

1+36

=

37

BC=

(6−7)

2

+(4+2)

2

=

1+36

=

37

AC=

(5−7)

2

+(−2+2)

2

=

4

=2

AB=BC

so ABC is an isosceles triangle.

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