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Arrange the Sides of the Following Triangles in an Ascending Order: δAbc, ∠A = 45°, ∠B = 65°. - Mathematics

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प्रश्न

Arrange the sides of the following triangles in an ascending order:
ΔABC, ∠A = 45°, ∠B = 65°.

योग

उत्तर

In ΔABC,
∠A + ∠B + ∠C = 180°
45° + 65° + ∠C = 180°
110° +∠C = 180°
∠C = 180° - 110°
∠C = 70°
Hence, ∠A = 45°, ∠B = 65°, ∠C = 70°
45° < 65° < 70°
Hence, ascending order of the angles in the 
given triangle is ∠A < ∠B < ∠C.
Hence, ascending order of sides in triangle
BC, AC, AB.

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अध्याय 13: Inequalities in Triangles - Exercise 13.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 13 Inequalities in Triangles
Exercise 13.1 | Q 2.1
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