Question

The sides of triangle are in the ratio $1:\sqrt{3}:2,$ then the angles of the triangle are in ratio

• A. 1 : 3 : 5
• B. 2 : 3 : 1
• C. 3 : 2 : 1
• D. 1 :2 : 3

Answer 1

The correct option is D

1 :2 : 3

$a:b:c=1:\sqrt{3}:2\Rightarrow sinA:sinB:sinsinC=1:\sqrt{3}:2=\frac{1}{2}:\frac{\sqrt{3}}{2}:1\Rightarrow A:B:C=\frac{\pi }{6}:\frac{\pi }{3}:\frac{\pi }{2}=1:2:3$