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Question
Arrange the sides of the following triangles in an ascending order:
ΔDEF, ∠D = 38°, ∠E = 58°.
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Solution
In ΔDEF,
∠D + ∠E + ∠F = 180°
38° + 58° + ∠F = 180°
96° + ∠F = 180°
∠F = 180° - 96°
∠F = 84°
Hence, ∠D = 38°, ∠E = 58°, ∠F = 84°
38° < 58° < 84°
Hence, ascending order of the angles in the
given triangle is ∠D < ∠E < ∠F.
Hence, ascending order of sides in triangle
EF, DF, DE.
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