2] ABC – ALMN, In A ABC, AB = 5.5cm, BC = 6cm, CA = 4.5cm constructBC 5A ABC and A LMN such thatMN 4 About the author Amaya
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. Reply
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.