Question

In triangle abc lm is the line segment joining the midpoint of side bc and ca.If lm equal to 3.4cm.Find the length of ab

Answer 1

Answer:

Step-by-step explanation:

Given AL/LB= AM/MC= 1/3

or LB= 3AL and MC= 3 AM

So, AL= 1/4 AB and AM= 1/4 AC

or AL= 1/2 (1/2AB) and AM= 1/2 (1/2 AC)

or L is the midpoint of 1/2 AB and M is the midpoint of 1/2 AC,

So, LM= 1/2 (1/2BC) [Midpoint theorem]

or LM= 1/4* 8.4

or LM= 2.1cm

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