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