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In the below figure, PQRS is a square and T and U are respectively, the mid-points of PS

and QR. Find the area of ΔOTS if PQ = 8 cm.

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#### Solution

From the figure

T and U are the midpoints of PS and QR respectively.

∴ TU || PQ

⇒ TO || PQ

Thus, in ΔPQS,T is the midpoint of PS and TO || PQ

∴ TO = `1/2` PQ = 4cm

Also , TS = `1/2`PS = 4cm

∴ `ar (ΔOTS) =1/2 (TOxx TS) = 1/2 (4xx4) cm ^2 = 8 cm ^2`

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