Draw seg XY of length 4.2 cm. Divide it into 3 equal parts.
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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.
∴ABLM=BCMN=CANL=54
⇒5.5LM=6MN=4.5NL=54
⇒LM=45×5.5=4.4 cm, MN=45×6=4.8 cm, NL=45×4.5=3.6 cm
Now, construct ∆LMN such that LM = 4.4 cm, MN = 4.8 cm and NL = 3.6 cm.
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