∆ABC ~ ∆LMN. In ∆ABC, AB=5.5 cm, BC = 6 cm, CA = 4.5cm. Construct
∆LMN such that BC/MN=5/4
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11
Answer:
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Step-by-step explanation:
Construct ∆ABC such that AB = 5.5 cm, BC = 6 cm and CA = 4.5 cm. ∆ABC and ∆LMN are similar. Therefore, their corresponding sides are proportional. Now, construct ∆LMN such that LM = 4.4 cm, MN = 4.8 cm and NL = 3.6 cm.
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Answered by
1
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
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