In the figure,line PQll side BC,AP =2.4cm,PB=7.2cm,QC=5.4cm.
complete the following activity
to find the length of seg AQ
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Step-by-step explanation:
ANSWER
∵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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