P,Q,R are the points on the sides AB, BC and CA respectivelyh of `/_\ABC such that `AP:PB=BQ:Qc=AR:RC=1:2`. Show that POBQR is a parallelogram

ABCD is a square. P, Q, R, S are points on the sides AB. BC, CD, DA respectively such that AP = BQ = CR = DS. What is angleSPQ equal to ?

Let P, Q, R, S be respectively the midpoints of the sides AB, BC, CD and DA of quad. ABCD Show that PQRS is a parallelogram such that ar("||gm PQRS")=(1)/(2)ar("quad. ABCD") .

P, Q, R, S are respectively the midpoints of the sides AB, BC, CD and DA of ||gm ABCD. Show that PQRS is a parallelogram and also show that ar("|| gm PQRS")=(1)/(2)xxar("||gm ABCD) .

P and Q are points on the sides AB and AC respectively of a triangleABC . If AP= 2cm, PB = 4cm AQ= 3cm and QC= 6cm. Show that BC= 3PQ.

P and Q are the points on sides AB and AC respectively of a DeltaABC , such that PQ||BC .If AP|PB=2:3 and AQ=4 cm , then the length of AC is ….. Cm .

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD.Show that ar (APB)=ar(BQC)

In ABC,P and Q are points on sides AB and AC respectively such that PQBC. If AP=3cm,PB=5cm and AC=8cm find AQ.

In triangle ABC , angle C=90^@ , Points P and Q are on the sides AC and BC, respectively, such that AP :PC =BQ: QC=1:2 Then (AQ^2+BP^2)/(AB^2) is equal to: triangle ABC में angle C=90^@ , बिंदु P और Q क्रमशः AC और BC पर बिंदु इस प्रकार है की AP :PC =BQ: QC=1:2 तो (AQ^2+BP^2)/(AB^2) = ?

If P, Q, R are the mid-points of the sides AB, BC and CA respectively of a triangle ABC and a, p, q are the position vectors of A,P,Q respectively, then what is position vector of R?

In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR