Use the distance formula:
d = sqrt. ( y2 - y1)^2 + (x2 - x1)^2)
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2 over 5
the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.