Question

In triangle ABC , PQ ll BC , AP = 2.4 cm. , PB = 7.2 cm , QC = 5.4 cm. Then find AQ

1.8 cm

1.4 cm

8.1 cm

1.2 cm

​

Answer 1

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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