In triangle ABC , AM=10, MB=8. AN=5
NC = 4, state whether line MN
parallel to side BC Give reason.
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Answer:
21cm
Step-by-step explanation:
Given, in ABC, LM is a line segment parallel to side BC of the triangle where L and M divide AB and AC respectively in the ratio 1:3.
⇒AL:BL=1:3andAM:CM=1:3
BL
AL
=
CM
AM
=
3
1
⇒
AB
AL
=
AL+BL
1
=
1+3
1
=
4
1
Similarly,
AC
AM
=
4
1
By BPT, we have
AB
AL
=
BC
LM
⇒
4
1
=
BC
LM
⇒
8.4
LM
=
4
1
⇒LM=
4
8.4
=2.1cm
LM=2.1 cm.
10×LM = 10×2.1 cm
=21cm
solution
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