Question

2] ABC - ALMN, In A ABC, AB = 5.5cm, BC = 6cm, CA = 4.5cm construct
BC 5
A ABC and A LMN such that
MN 4​

Answer 1

Construct △ABC such that AB=5.5cm,BC=6cm and CA=4.5cm.

△ABC and △LMN are similar.

Therefore, their corresponding sides are proportional.

∴LMAB=MNBC=NLCA=45

⇒LM5.5=MN6=NL4.5=45

⇒LM=54×5.5=4.4cm,MN=54×6=4.8cm,NL=54×4.5=3.6cm

Now,  construct △LMN such that LM=4.4cm,MN=4.8cm and NL=3.6cm.