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Name the Greatest and the Smallest Sides in the Following Triangles: δXyz, ∠X = 76°, ∠Y = 84°. - Mathematics

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प्रश्न

Name the greatest and the smallest sides in the following triangles:
ΔXYZ, ∠X = 76°, ∠Y = 84°.

योग

उत्तर

In ΔXYZ,
∠X + ∠Y + ∠Z = 180°
76° + 84° + ∠Z = 180°
160° + ∠Z = 180°
∠Z = 180° - 160°
∠Z = 20°
Hence, ∠X = 76°, ∠Y = 84°, ∠Z = 20°
In the given ΔXYZ the greatest angle is ∠Y and 
the opposites side to the ∠Y is XZ.
Hence, the greatest side is XZ.
The smallest angle in the ΔXYZ is ∠Z and the 
opposite side to the ∠Z is XY.
Hence, the smallest side is XY.

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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 1.3
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