Question

In Angle ABC, PQ and BC are parallel. AP = 4cm. PB = 3 cm. AQ = 6 cm.Find QC?​

Answer 1

Answer:

Solution

As PQ∥AC by using basic proportionality theorem,

PA

BP

​

=

QC

BQ

​

⇒

4

6

​

=

QC

BQ

​

⇒BQ=1.5QC…(i)

Now,

BC

8

2.5QC

QC

QC

​

 

=BQ+QC

=1.5QC+QC…[By using (i)]

=8

=

2.5

8

​

=3.2cm

​

Again,

BQ

​

 

=1.5×3.2

=4.8cm

​

Therefore, CQ=3.2cm and BQ=4.8cm.

Step-by-step explanation: