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Home / Questions / Q 3756
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PQRS is a cyclic quadrilateral in which PQ = 14. 4 cm, QR = 12. 8 cm a

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| PQRS is a cyclic quadrilateral in which
PQ = 14. 4 cm, QR = 12. 8 cm and SR = 9. 6 cm. If PR bisects QS, what is the length of PS?

A. 13. 6 cm

B. 16. 4 cm

C. 19. 2 cm

D. 15. 8 cm

Right Answer is: C

SOLUTION

In ∆ SOR and ∆ POQ,

∠RSO = ∠OPQ (same arc RQ)

∠SOR = ∠POQ

∆ SOR ~ ∆ POQ

Hence,

Similarly, ∆ SOP ~ ∆ ROQ

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    1. PQRS is a cyclic quadrilateral in which
      PQ = 14. 4 cm, QR = 12. 8 cm a

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