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