Question

in the figure,line PQ ll side BC, AP = 2.4 CM,PB = 7.2 CM,=5.4cm; then find AQ​

Answer 1

∵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