In figure 6.44, the arm QR of the APQR is to the point S Has been enhanced. If / bisectors of PQR and Z PRS Meet at the point, prove that LQTR = 5ZQPR.

In figure, the side QR of Delta PQR is produced to a point S. If the bisectors. of /_PQR and /_PRS meet at point T, then prove that /_QTR = 1/2 /_QPR .

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Fig. 6.44, the side QR of triangle PQR is produced to a point S. If the bisectors of angle PQR and angle PRS meet at point T, then prove that angle QTR =1/2 angle QPR .

In Fig. , the side QR of △ PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R"\ "a n d/_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .

In the given figure, the side QR of DeltaPQR is produced to a point S. If the bisectors of anglePQR and anglePRS meet at point T, then prove that angleQTR=(1)/(2)angleQPR .

In Fig , the side QR and DeltaPQR is produced to a point S. If the bisector of lfloorPQR and lfloorPRS meet at point T the prove that lfloor QTR=(1)/(2) lfloorQPR.

In DeltaPQR , /_Q=2/_R , The bisector of /_PQR intersects PR at the point D . Prove that PQ*QR=QD.PR .

If S is the mid-point of side QR of a DeltaPQR , then prove that PQ+PR=2PS .