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

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प्रश्न

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

योग

उत्तर


In the quadrilateral ABCD,
Since AB is the longest side and DC is the shortest side.

∠1 > ∠2 [ AB > BC ]
∠ 7 > ∠4 [ AD > DC ]
∴ ∠1 + ∠7 > ∠2 + ∠4
⇒ ∠C > ∠A.

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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.
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Inequalities - Exercise 11 [पृष्ठ १४३]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 11 Inequalities
Exercise 11 | Q 17.1 | पृष्ठ १४३
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