Triangle Acute-Angle Problem

Catriona Shearer retweeted the following problem from Antonio Rinaldi‏ @rinaldi6109

“My little contribution to @Cshearer41 October 7, 2018
A point D is randomly chosen inside the equilateral triangle ABC. Determine the probability that the triangle ABD is acute-angled.”

Answer.

See Triangle Acute-Angle Problem for a solution.