MathDB
2017 Geometry #6

Source:

November 19, 2022
2017Geometry Test

Problem Statement

Let ABC\triangle ABC be a right triangle with right angle B\angle B. Suppose the angle bisector ll of BB divides the hypotenuse ACAC into two segments of length 31\sqrt{3}-1 and 3+1\sqrt{3}+1. What is the measure of the smaller angle between ll and ACAC, in radians?