Question

triangle ABC sim triangle PQR , such that angle A= angle P LP and angle B= angle Q , PR = 25 cm , AC = 30 cm then ar( Delta ABC) ar( Delta POR) =\ , PQ = 12 cm , AB = 16 cm​

Answer 1

Answer:

In a △ABC,P and Q are points on sides AB and AC respectively, such that PQ∥BC. If

AP=2.4cm,AQ=2cm,QC=3cm and BC=6cm, find AB and PQIf a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Hence

QC

AQ

=

PB

AP

3

2

=

PB

2.4

PB=3.6cm

AB=AP+PB=2.4+3.6=6cm

As PQ∥BC

∠AQP=∠ACB

∠APQ=∠ABC

So by AAA △AQP∼△ACB

Hence

AC

AQ

=

CB

QP

5

2

=

6

QP

QP=2.4cm

So AB=6cm and QP=2.4cm

solution