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Attempt following question by selecting a choice to answer.
of a quadrilateral PQRS intersect each other at O. What can you say about the ratio ?B c
greater than 2
less than 2
less than 1
Step 2: In ΔOSP, OP + OS > SP[Triangle Inequality Theorem.]
Step 3: In ΔOPQ, OP + OQ > PQ[Triangle Inequality Theorem.]
Step 4: In ΔORQ, OQ + OR > RQ[Triangle Inequality Theorem.]
Step 5: In ΔOSR, OS + OR > SR[Triangle Inequality Theorem.]
Step 6: (OP + OS) + (OP + OQ) + (OQ + OR) + (OR + OS) > (SP + PQ + RQ + SR)[Add all the inequalities.]
Step 7: (OP + OR) + (OP + OR) + (OS + OQ) + (OS + OQ) > (SP + PQ + RQ + SR)
Step 8: 2(PR + SQ) > (PQ + QR + RS + SP)[Replace OP + OR with PR and OS + OQ with SQ.]
Step 9: 2 >
[Divide by (PR + SQ) on both sides.]