А A-2 A) Complete the following activities. (Any 2) (4) 1) Observe the figure. To find AQ, 2.4 complete the activity. Solution : In A ABC, 7.2 5.4 line PQ | B P 'C
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∵PQ∥BC
⇒∠APQ=∠ABC
and∠AQP=∠ACB(corespondinganglearesame)
∴△APQ∼△ABC(AAcriteria)
hence,
AB
AP
=
AC
AQ
⇒
AP
AB
=
AQ
AC
⇒
AP
AB
−1=
AQ
AC
−1
⇒
AP
PB
=
AQ
QC
⇒
2.4
7.2
=
AQ
5.4
⇒AQ=1.8cm
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