Question

If A (-1,1), B (5,-3), C (3,5) are the vertices of ABC and segment AM is its median. Find the length of median AM.​

Answer 1

→ To find the coordinate of D;-

D is the midpoint of BC

Coordinate of D=(

2

1+(−3)

,

2

5+(−1)

)

Coordinate of D=(−1,2)

Now,

To find the length of AD;-

=

(Y

2

−Y

1

)

2

+(X

2

−X

1

)

2

=

(1−2)

2

+(5−(−1))

=

(−1)

2

+(6)

2

Hence, we get AD=

37