Question

32. Assertion (A): IfA and B are respectively the
points on the sides PQ and PR of APQR such
that PQ = 12.5 cm, PA= 5 cm, BR = 6 cm and
PB = 4 cm then AB || QR.
Reason (R): If a line divides any two sides
of a triangle in the same ratio, then the line is
parallel to the third side of the triangle.​

Answer 1

Answer:

From the dimensions given in the question,

Consider the △PQR

So, PQ/PA=12.5/5

=2.5/1

PR/PB=(PB+BR)/PB

=(4+6)/4

=10/4

=2.5

By comparing both the results,

2.5=2.5

Therefore, PQ/PA=PR/PB

So, AB is parallel to QR.

Step-by-step explanation:

tq hope it helps