Question

5)
In the given fig , line P Q il side
BC, IF AP = 1.8, PB = 5.4. 8C =
7.2 then find AQ
3.6 2.4, 2.6 24
​

Answer 1

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

Step-by-step explanation:

hope it works...