In triangle ABC, we have angle B = 60, angle C = 90 , and AB=2. Let P be a point chosen uniformly at random inside ABC. Extend ray BP

In triangle ABC, we have angle B = 60, angle C = 90 , and AB=2.

Let P be a point chosen uniformly at random inside ABC. Extend ray BP to hit side AC at D. What is the probability that BD< sqrt(2) ?

 

 

 

thx