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3:40, I just wonder if trisecting the main triangle and then adding the area of three remaining triangles is equivalent at some level to the individual components contained within the standard form of Heron's Formula? It would be interesting to know if there was a mathematical relationship between the area of each of those individual triangles and the (S-a),(S-b), and (S-c) components of Heron's. Also, what is the website of the "Maths Doctor"?...his mobile apps are no longer available.
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Before I watch the rest, my attempt: Height of blue: (7√(2))² = 49 * 2 = 98 98 / 2 = 49 √(49) = 7 Area of blue: 7² = 49 Not sure you even need the area of the yellow.
General formula for that will be: n - amount of glasses AmountOfClinks = (n*(n - 1))/2 For example: 4 glasses we will have: (4*(4-1))/2 = (4*3)/2 = 12/2 = 6 <- as in an example for 10 glasses: (10*(10-1))/2 = 90/2 = 45 This is exact the same problem as amount of handshakes. But here we have clinks of glasses.
I hope i wouldn't spoil anyone a solution :) At first i solve the problem then i go to comment section because someone could give an answer:) BTW. Great videos i hope it will be more :)