otfienIn Δ ABC, LM is a line segment parallel to side BC ofBC where L

1.	otfienIn Δ ABC, LM is a line segment parallel to side BC ofBC where L and M divide AB and AC respectivelyAAin the ratio 1:3. If BC 8.4 cm, find LM
Answer» 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

otfienIn Δ ABC, LM is a line segment parallel to side BC ofBC where L and M divide AB and AC respectivelyAAin the ratio 1:3. If BC 8.4 cm, find LM

Answer»

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