Q2 of 77 Page 15

In Fig. 15.75, PQRS is a square and T and U are respectively, the mid-points of PS and QR. Find the area of Δ OTS if PQ=8 cm

From the figure,

T and U are the mid points of PS and QR respectively


Therefore,


TU || PQ


TO||PQ


Thus,


In Δ PQS and T is the mid-point of PS and TO||PQ


Therefore,


TO =* PQ


= 4 cm


Also,


TS =* PS


=4 cm


Therefore,


Area (Δ OTS) = (TO * TS)


=(4 * 4)


=8 cm2


More from this chapter

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4

If ABCD is a parallelogram, then prove that

ar(Δ ABD) = ar(Δ BCD) = ar(Δ ABC)=ar(Δ ACD) = ar(||gm ABCD)

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In Fig. 15.74, compute the aresa of quadrilateral ABCD.

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Compute the area of trapezium PQRS in Fig. 15.76.

 4

In Fig. 15.77, ∠AOB=90°, AC=BC, OA=12 cm and OC=6,5 cm. Find the area of Δ AOB.