Find coordinates for C on line segment AB that is 8 units from A.

Question

Let A = (0,0) and B = (12,5), and let C be the point on segment AB that is 8 units from A.

Find coordinates for C.

Answer 1

13/8 = 5/y = 12/x

x = 96/13 = about 7.4

y = 40/13 = about 3.1

C is (96/13, 40/13) = about (7.4, 3.1)