D2) A ABC ~ ALMN. In A ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. Construct A ABC andВС 5A LMN such thatMN 4.3) Two circles with centres A and Bare touching mytorno About the author Ruby
Answer: Construct △ABC such that AB=5.5cm,BC=6cm and CA=4.5cm. △ABC and △LMN are similar. Therefore, their corresponding sides are proportional. ∴ LM AB = MN BC = NL CA = 4 5 ⇒ LM 5.5 = MN 6 = NL 4.5 = 4 5 ⇒LM= 5 4 ×5.5=4.4cm,MN= 5 4 ×6=4.8cm,NL= 5 4 ×4.5=3.6cm Now, construct △LMN such that LM=4.4cm,MN=4.8cm and NL=3.6cm. solution Reply
Answer:
Construct △ABC such that AB=5.5cm,BC=6cm and CA=4.5cm.
△ABC and △LMN are similar.
Therefore, their corresponding sides are proportional.
∴
LM
AB
=
MN
BC
=
NL
CA
=
4
5
⇒
LM
5.5
=
MN
6
=
NL
4.5
=
4
5
⇒LM=
5
4
×5.5=4.4cm,MN=
5
4
×6=4.8cm,NL=
5
4
×4.5=3.6cm
Now, construct △LMN such that LM=4.4cm,MN=4.8cm and NL=3.6cm.
solution