Question

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

Answer 1

Answer:

5 units will be the length of median

Answer 2

ANSWER : -

A median of a triangle is a line segment that joins the vertex of a triangle to

the midpoint of the opposite side.

Median through A passed through mid point of BC.

Mid point of two points (x1 ,y 1 ) and (x 2 ,y 2 ) is calculated by the formula ( 2x 1 +x 2, 2y 1 +y 2 )

Using this formula,

mid point of BC =( 21+5 , 2−1+1 )=(3,0)

Distance between two points (x 1 ,y 1) and (x 2 ,y 2 ) can be calculated using the formula

(x 2 −x 1 ) 2+(y 2 −y 1) 2

Length of median through A =

(3+1) 2+(0−3) 2 = 16+9 = 25

=5units

5 units will be the length of median.

its the answer.......