Question

Draw A ABC so that AB = 5.0 cm , BC = 5.5cn AC = 4.0 cm . Draw ∆ DEF similar to ∆ABC so that AB/DE = 5:4​

Answer 1

Answer:

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.