Rectangle

In a rectangle with sides, 6 and 3 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?

Correct result:

p =  42.7 %

Solution:

a=6 b=3 c=a2+b2=62+32=3 56.7082  S1=a b2=6 32=9  r=2 S1a+b+c=2 96+3+6.70821.1459 S2=r c2=1.1459 6.708223.8435  p=100 S2S1=100 3.84359=42.7%



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