Question

find the length of the median which is drawn from the vertex b of triangle abc whose vertices are a (-1,3),b (1,-1) and c (5,1)

full explanation​

Answer 1

Answer:

..

Step-by-step explanation:

ANSWER

Coordinates of A≡(−1,3)

Coordinates of B≡(1,−1)

Coordinates of C≡(5,1)

The median through the vertex C will meet at the mid point of AB.

Coordinate of mid-point on AB=(

2

(−1)+1

,

2

3+(−1)

)=(0,1)

Now,

Length of median through vertex C= Distance between (5,1) and (0,1)

Therefore,

Length of median =

(0−5)

2

+(1−1)

2

⇒ Length of median =

(5)

2

=5 units

Hence the length of median through the vertx C is 5 units.