Question

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

Answer 1

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.