1.

One angle of a triangle is 30°, prove that radius of the circumcircle is equal to the side opposite to 30°

Answer»

For a right-angled triangle one of the angles is 30° then other one is 60°. 

Side which is opposite to the angle of 90° is twice of the side which is opposite to the angle of 30°

Center of circumcircle is the midpoint of the side, which is opposite to the angle 90° that means half.

∴ Radius of the circumcircle is equal to the side opposite to 30°.



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