Question

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 coordinate of point B is 8.5, then find the coordinates of points A and C.

Answer 1

Given: A−B−C, i.e., d(A,B) + d(B,C) = d(A,C)
Here, d(A,B) = 7.5, d(B,C) = 13.8 and coordinate of B = 8.5

Let the coordinates of A and C be x and y, respectively.
Then according to the figure, we have:


x + 7.5 = 8.5
⇒ x = 1

Also, 8.5 + 13.8 = y
⇒ 22.3 = y
Hence, the coordinates of A and C are 1 and 22.3, respectively.