In a right-angled triangle, one leg is 2 and the opposite angle is 60 degrees. Find 2 legs of this triangle.

1. Let’s designate the vertices of the triangle by symbols A, B, C. Angle C = 90. Angle A = 60 °. BC leg = 2 units.

2. We calculate the length of the leg AC through the tangent of angle A. The tangent of angle A is equal to the quotient of dividing the length of the leg BC by the length of the leg AC:

BC: AC = tangent 60 °.

2: AC = √3.

AC = 2: √3 = 2√3 / 3 units.

Answer: the length of the AC leg is 2√3 / 3 units.