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ICSE Class X Math 2016 Solved Paper

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In the given figure PQRS is a cyclic quadrilateral PQ and SR produced meet at T.
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Question : 25
Total: 57
Find SP if TP=18‌cm,RQ=4‌cm and TR=6‌cm.
Solution:  
In similar triangles ∆TPS and TRQ
‌‌
TP
TR
=‌
PS
RQ

‌‌
18
6
=‌
PS
4
‌PS=‌
72
6

‌‌=12‌cm.
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