Question

a decide whether the points
points (1, 2),(1,6) and (1+ √12,4)
equilateral triangle
the vertices of an​

Answer 1

Step-by-step explanation:

A(1,2)B(1,6)C(1+2

3

,4)

using distance formula

AB=

(1−1)

2

+(6−2)

2

=

4

2

=4

BC=

(1+2

3

−1)

2

+(4+6)

2

=

12+4

=4

CA=

(1−1−2

3

)

2

+(2−4)

2

=

12+4

=4

Since AB=BC=CA

∴ ABC is an equilateral triangle