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Let DEF be an equilateral triangle with side length 3. At random, a point G is chosen inside the triangle. Compute the probability that the length DG is less than or equal to 1.

 

This is a really fun problem, and I have drawn a picture as well as graph to try and help me understand it more. I'm stuck on the fact for the probability. I have found the total number, but not the successful cases.

 Jul 24, 2020
 #1
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This question has been posted here many times. See 3 different answers, all with the same probability, here:

 

https://web2.0calc.com/questions/let-triangle-abc-be-equilateral-where-the-side-length#r2
https://web2.0calc.com/questions/help-probability_2
https://web2.0calc.com/questions/help_1095

 Jul 24, 2020
 #2
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oh okay thank you! I am going to look at the answers to understand it. thank you! I shouldn't have reposted.

iamhappy  Jul 24, 2020

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