PQRS and ABRS are parallelograms and X is any point on the side BR. Show that
`ar (Delta AXS) = (1)/(2) ar (PQRS)`

PQRS and ABRS are parallelograms and X is any point on the sides BR. Show that ar(PQRS)=ar(ABRS)

PQRS and ABRS are parallelograms and X is any point on the side BR. Show that (i) ar(PQRS) = ar(ABRS) (ii) ar(DeltaAXS) =1/2 ar(PQRS)

ABCD is a parallelogram and P is a point of bar(CD) . Show that ar(/_\ABP) = ar(/_\ADP+ /_\BCP) .

Triangle ABC and parallelogram ABEF ar on the same base, AB as in between the same parallels AB and EF. Prove that ar(DeltaABC)=1/2ar("||"gmABEF)

P is a point in the interior of a parallelogram ABCD. Show that ar (Delta APD) + ar ( DeltaPBC) = ar ( DeltaAPB) + ar (DeltaPCD)

Triangle ABC and parallelogram ABEF are on the same base, AB as in between the same parallels AB and EF. Prove that ar (DeltaABC) = 1/2 ar(|| gm ABEF)

PQR is an isosceles triangle whose equal sides PQ and PR are at right angles S and T are points on PQ such that QS = 6 (SP) " and " QT = 2 (TP) " and if" angle PRS = theta , angle PRT = phi then

P is a point in the interior of a parallelogram ABCD. Show that (i) ar (DeltaAPB) +ar (DeltaPCD)=1/2ar (ABCD) (ii) ar(DeltaAPD)+ar (DeltaPBC)=ar(DeltaAPB)+ar(DeltaPCD) (Hint : Throught , P draw a line parallel to AB)

In the parallelogram PQRS, 1/2 angleP + 1/2 angle Q =

PQR is a Triangle right angled at P and M is a point on QR such that PMbotQR . Show that PM^2 =QM.MR.