geometry

Line segment
AB
with the length ais divided by points P and Q into three line segments:
AP
,
PQ
, and
QB
, such that AP = 2PQ = 2QB. Find: (1) The distance between point A and the midpoint of segment
QB
; (2) The distance between the midpoints of the segments
AP
and
QB
.

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  1. Let the length of PQ = x
    Then AP = QB = 2x
    So, the midpoints of AP and QB divide AP into five equal segments.
    Now you should be able to answer the questions easily.
    I assume you have drawn the diagram ...

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