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Question -

In the given figure, 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.



Answer -

Given: Here from the given figure we get
(1) PQRS is a square,
(2) T is the midpoint of PS which means  
(3) U is the midpoint of PS which means  
(4) QU = 8 cm
To find: Area of ΔOTS
Calculation:
Since it is given that PQ = 8 cm. So
 
Since T and U are the mid points of PS and QR respectively. So
 
Therefore area of triangle OTS is equals to
 
Hence we get the result that Area of triangle OTS is 


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