Question

Practice set 4.1 A ABC - ALMN. In A ABC, AB = 5.5 cm, BC = 6 cm, CA = 4.5 cm. BC 5 Construct A ABC and ALMN such that MN 4 ​

Answer 1

Step-by-step explanation:

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.