PQR is a triangle . U,V & W are the mid points of PQ, QR & RP . Show that ΔPQR is divided into 4 congurent Δ by joining U,V &W .
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Proof : In llg UVWP
two triagles on the same base and between two parallels -I
So,triangle UWV=triangleUWP
Take llg UWRV
So, triangle UWV=triangleVWR( from I )
Take llgm QVWU
So, triangle UQV=triangle UWV
Therefore triagles QUV, UWV, VWR, UWP
HENCE PROVED
two triagles on the same base and between two parallels -I
So,triangle UWV=triangleUWP
Take llg UWRV
So, triangle UWV=triangleVWR( from I )
Take llgm QVWU
So, triangle UQV=triangle UWV
Therefore triagles QUV, UWV, VWR, UWP
HENCE PROVED
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