Question

if the pointsA(1-1), B(-1, 3) and C(5, 1) are the vertice of ∆ABC , find the length of the median through B and the coordinate of the centroid​

Answer 1

Search for questions, posts and chapters

Maths

Bookmark

If A(5, -1), B(-3, -2) and C(-1, 8) are the vertices of triangle ABC, find the length of median through A and the coordinates of the centroid.

share

Share

Answer

Let AD be the median through the vertex A of△ABC. Then, D is the mid-point of BC. So, the coorinates of D are(

2

−3−1

,

2

−2+8

)i.e.,(−2,3).

∴AD=

(5+2)

2

+(−1−3)

2

=

49+16

=

65

units

Let G be the centroid of △ABC. Then, G lies on median AD and divides it in the ratio 2:1. So, coordinates of G are

( 2+12×−2+1×5 , 2+12×3+1×−1 )=( 3−4+5 , 36−1)=( 31 ,35 )

Answer 2

Answer:

5 unit is the answer hope helps and hope the attachment also helps you