Given `DeltaABC,` lines are drawn through `A, B and C` parallel respectively to thesides `BC, CA and AB,` forming `DeltaPQR` (Fig. 13.27). Show that `BC =1/2 QR.`

Given Delta ABC, lines are drawn through A,B and C parallel respectively to thesides BC,CA and AB, forming Delta PQR( Fig.13.27 ).Show that BC=(1)/(2)QR

D, E and F are respectively the mid-points of the sides BC, CA and AB of a DeltaABC . Show that ar(BDEF) = 1/2ar(triangleABC)

Through A, B and C lines RQ, PR and QP have been drawn, respectively parallel to sides BC, CA and AB of a Delta ABC as shown in figure. Show that BC=(1)/(2)QR .

Throuth A,B and C lines RQ, PR and QP have been drawn, respectively parallel to sides BC. CA and AB of a DeltaABC as shown in the given figure. Show that BC=1/2QR.

Sides AB and BC and median AD of a triangle ABC are respectively propor-/ tional to sides PQ and QR and median PM of DeltaPQR (see Fig. 6.41). Show that DeltaABC~DeltaPOR.

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of DeltaPQR (see figure). Show that DeltaABC~=DeltaPQR

P is a point on the side BC of a triangle ABC . such that AB=AP .Through A and C, lines are drawn parallel to BC and PA , respectively,so as to intersect at D as shown in Figure.Show that ABCD is a cyclic quadrilateral.

P is a point on the side BC of a triangle ABC . such that AB=AP. Through A and C, lines are drawn parallel to BC and PA , respectively,so as to intersect at D as shown in Figure.Show that ABCD is a cyclic quadrilateral.

In Delta ABC the lines are drawn parallel to BC,CA and AB respectively through A,B and C intersecting at PQ and R. Find the ration of perimeter of Delta PQR and Delta ABC