In a triangle, the side opposite to the angle of 30 is 20. Find the largest possible value for the larger side of this triangle.

Let’s say the triangle is rectangular.

Angle A is ninety degrees, angle B is thirty degrees.

According to the rule: “The leg, lying opposite an angle of thirty degrees, is equal to half of the hypotenuse.” So the angle B, equal to 30 degrees, lies opposite the leg, equal to half the hypotenuse. That is, the hypotenuse is equal to twice the value of the leg we know (that is, 20). The value of the hypotenuse is:

20 * 2 = 40

The hypotenuse of a right-angled triangle ABC is 40.

Answer: 40.