s In Fig IH17, PORS and ABRS are parallelogramsand N is any point on s

1.	s In Fig IH17, PORS and ABRS are parallelogramsand N is any point on side BR. Show that(Oar(PORS)-ar(ABRS)()ar(AXS)-ar (PORS)Fig. 11.17
Answer» Given: PQRS & ABRS both are parallelograms and Xis any point on BR. To show: (i) ar (PQRS) = ar (ABRS) (ii) ar (AXS) = ar (PQRS) Proof: (i)Here, Parallelograms PQRS andABRS lie on the same base SR and between the same parallel lines SR and PB. ∴ ar(PQRS) = ar(ABRS) — (i) (ii) In ΔAXS and parallelogram ABRS are lying on the same base AS and betweenthe same parallel lines AS and BR. ∴ ar(ΔAXS)= 1/2 ar(ABRS) — (ii) From eq (i) and (ii), ar(ΔAXS) = 1/2 ar(PQRS) hit like if you find it useful

s In Fig IH17, PORS and ABRS are parallelogramsand N is any point on side BR. Show that(Oar(PORS)-ar(ABRS)()ar(AXS)-ar (PORS)Fig. 11.17

Answer»

Given:

PQRS & ABRS both are parallelograms and Xis any point on BR.

To show:

(i) ar (PQRS) = ar (ABRS)

(ii) ar (AXS) = ar (PQRS)

Proof:

(i)Here, Parallelograms PQRS andABRS lie on the same base SR and between the same parallel lines SR and PB.

∴ ar(PQRS) = ar(ABRS) — (i)

(ii) In ΔAXS and parallelogram ABRS are lying on the same base AS and betweenthe same parallel lines AS and BR.

∴ ar(ΔAXS)= 1/2 ar(ABRS) — (ii)

From eq (i) and (ii),

ar(ΔAXS) = 1/2 ar(PQRS)

hit like if you find it useful