24. In the figure , PQ || BC. If AP=2.4 cm , AQ = 2 cm and QC = 7cm, find the length of AB.
А
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Answered by
2
Answer:
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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0
Answer:
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