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One angle of a triangle is 150° and its opposite side 3 centimetre. Find the diameter of its circumcircle.

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One angle of a triangle is 150° and its opposite side 3 centimetre. Find the diameter of its circumcircle.

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In DABC, ∠B = 150°, AC = 3 cm Draw diameter AD and join CD 

∠ADC = 180 – 150 = 30°, ∠ACD = 90° 

Angles of DADC are 

30°, 60°, 90°

30° 60° 90° 

1 : √3 : 2 

↓    ↓     ↓ 

3 3√3 6

Diameter, AD = 6 cm

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