Question

In the triangle PQR joining figure AB is parallel to QR, PQ = 8 cm , PA = 2 cm , PR = 9 cm
and AB = 3cm
i.)
PB and QR
11.)
area of PAB: area of trapezium ABRQ
​

Answer 1

Answer:

Given Below

Step-by-step explanation:

Answer

Given AB is 3 cm,PR is 2 cm PR is 6 cm

In △PAB and △PQR

∠PAB=∠PQR (corresponding angles)

and ∠P is common.

∴△PAB∼△PQR (AA similarity criterion)

Since corresponding sides are proportional,

QR

AB

=

PR

PB

QR=

PB

AB×PR

=

2

3×6

Thus, QR=9 cm.