Question

4. Check whether (5,-2), (6,4) and (7,-2) are the vertices of an isosceles triangle.​

Answer 1

Answer:

Let ABC be the triangle A(5,−2),B(6,4),C(7,−2)

By distance formula

AB=

(5−6)

2

+(−2−4)

2

=

(−1)

2

+(−6)

2

37

BC=

(6−7)

2

+(4−(−2)

2

=

(−1)

2

+(6)

2

=

37

CA=

(7−5)

2

+(−2−(−2))

2

=

(2)

2

+0

=2

Since AB=BC=

37

Hence (5,−2),(6,4) & (7,−2) are vertices of isosceles triangle.