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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

 Mar 10, 2021
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By geometric probability, the probability that BD < sqrt(2) is 1/3.

 Mar 10, 2021

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