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


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