2 tangents are drawn to the circle centered at point O from point A, the angle between which is 120 degrees.

2 tangents are drawn to the circle centered at point O from point A, the angle between which is 120 degrees. Find the lengths of the tangent segments if OA = 24

Radii dropped at tangency points are perpendicular to tangents. Triangles from radii, tangent line segments and OA are equal. Therefore, their angles, which add up to 120 degrees, are equal to 60 degrees. And the angles against the tangent line segments are equal to 30 degrees. And these segments are equal to half of OA, that is, 12.