Question

Question...

if A(2,5) B(-1,2) and C (5,8) are the vertices of a triangle ABC.
M is the midpoint on AB such that AM:MB = 1:2.
Find the coordinates of M.
Hence, find the equation of the line passing through the points C and M.​

Answer 1

Answer:

A(2, 5), B(-1, 2) and C(5, 8) are the vertices of a triangle ABC, 'M' is a point on AB such that AM : MB = 1 : 2.

Answer 2

Step-by-step explanation:

Let A(2,5) B(-1,2) be

x1,y1. x2,y2

by midpoint formula,

x= x1+x2/2

=2+(-1)/2

= 2-1/2

x =1/2

y= y1+y2/2

= 5+2/2

= 7/2

y= 7/2

Therefore the coordinates of point M ( 1/2,7/2)

Hope it helps