a line segment PQ is divided at a point A such that AQ:PQ=2:5
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Answer:
(1) Draw a line segment of length PQ=10cm.
(2) Draw any ray PX making an acute angle ∠QPX with PQ.
(3) Draw a parallel line to PX by making ∠PQY=∠QPX
(4) Mark two points C
1
,C
2
on PX and 3 ponts B
1
,B
2
,B
3
such that PC
1
=C
1
C
2
QB
1
=B
1
B
2
=B
2
B
3
(5) Join C
2
to B
3
. Then it intersect PQ at point A. Thus A is the point of dividing PQ such
PQ
PA
=
5
2
or
QA
PA
=
3
2
The length of PA=4cm and QA=6cm.
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