the coordinates of the endpoints A and B of segment AB are 6 and 21, respestively. find the coordinate of point C between A and B such that AC= 2/3(CB)
2 answers
The separation of the points A and B is 21-6 = 15. C is located 2/5 of the way from A to B, and 3/5 of the AB distance remains from B to C. That pus C 6 units beyond point A, at a coordinate value of 6 + 6 = 12.
AC = 2/3 CB
so AC:CB = 2:3
6----------X------------------21
A..........C...................B
-----2----- ---------3---------
then (X-6)/2 = (21-X)/3
cross multiply
...
...
X=12
so AC:CB = 2:3
6----------X------------------21
A..........C...................B
-----2----- ---------3---------
then (X-6)/2 = (21-X)/3
cross multiply
...
...
X=12
3 answers