Question

If A(-1,3) , B(1,-1) , C(5,1) are vertices of triangle ABC , then find the length of median from B to side AC

Answer 1

Step-by-step explanation:

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 (x

1

,y

1

) and (x

2

,y

2

) is calculated by the formula (

2

x

1

+x

2

,

2

y

1

+y

2

)

Using this formula,

mid point of BC =(

2

1+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