# 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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