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