So, you triangle Theorem 8.9 : The line segment joining the mid-points of two sides of a triangle is parallel to the third side.
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Step-by-step explanation:
Consider the following figure In this PQ is a line segment joining midpoint of AB and AC
i.e
AP=PB and AQ=QC
PB
AP
=1 and
QC
AQ
=1
PB
AP
=
QC
AQ
Hence using proportionality theorem we obtain.
if
PB
AP
=
QC
AQ
Therefore PQ∣∣BC
Attachments:
![](https://hi-static.z-dn.net/files/d4e/3b4466a746ce0ec04401df2d91eb75a9.jpg)
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