Question

6. Given A-B-C the coordinate of the point A is the
least. If d(A, B)= 7.5, d(B, C)= 13.8 and the
coordinate of the point B is 8.5, find the coordinates
of the point A and C.​

Answer 1

Answer:

Given A -B-C the co-ordinate of point A is the smallest.If d(A,B) = 7.5, d(B,C):= 13,8 and the co-ordinate of point B is 8.5.

So,

d(AB) = co-ordinate of point B - co-ordinate of point A

=> 7.5 = 8.5 - co-ordinate of point A

=> co-ordinate of point A = 1

d(B,C) = co-ordinate of point B - co-ordinate of point C or co-ordinate of point C - co-ordinate of point B

But , If the co-ordinate of point B > co-ordinate of point C, the point C is behind the point A, then co-ordinate A is not the smallest. then,

d(B,C) = co-ordinate of point C - co-ordinate of point B

=> 13.8 = co-ordinate of point C - 8.5

=> co-ordinate of point C = 13.8 + 8.5 = 22.3