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