UP TGT Mathematics Trigonometry Test Series - Part 2

In ΔABC, if angles are in the ratio 1:2:3, then the sides a:b:c are in ratio:

Type: MCQ • Marks: 1
In ΔABC, if angles are in the ratio 1:2:3, then the sides a:b:c are in ratio:
Options
A. 1 : 2 : 3
B. 1 : √3 : 2
C. 1 : √2 : 2
D. 2 : √3 : 1
Explanation
Angles: A + 2A + 3A = 180° => A = 30°, B = 60°, C = 90°. By Sine Rule, a:b:c = sin 30° : sin 60° : sin 90° = 1/2 : √3/2 : 1 = 1 : √3 : 2.
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