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Abcd is a Trapezium. Prove That:Cd + Da + Ab + Bc > 2ac. - Mathematics

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प्रश्न

ABCD is a trapezium. Prove that:

CD + DA + AB + BC > 2AC.

बेरीज

उत्तर

In ΔABC, we have
AB + BC > AC      ...(i)
In ΔACD, we have
AD + CD > AC     ...(ii)
Adding (i) and (ii), we get
AB + BC + AD + CD > 2AC.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Inequalities in Triangles - Exercise 13.1

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फ्रँक Mathematics [English] Class 9 ICSE
पाठ 13 Inequalities in Triangles
Exercise 13.1 | Q 14.1
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