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In Quadrilateral Abcd, Side Ab is the Longest and Side Dc is the Shortest. Prove That: D > B. - Mathematics

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Question

In quadrilateral ABCD, side AB is the longest and side DC is the shortest.
Prove that: D > B.

Sum

Solution


∠5 > ∠6 [ AB > AD ]
∠3 > ∠8 [ BC > CD ]
∴ ∠5 + ∠3 > ∠6 + ∠8
⇒ ∠D > ∠B

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Inequalities in a Triangle - Of All the Lines, that Can Be Drawn to a Given Straight Line from a Given Point Outside It, the Perpendicular is the Shortest.
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Chapter 11: Inequalities - Exercise 11 [Page 143]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 11 Inequalities
Exercise 11 | Q 17.2 | Page 143
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