the georgetown basketball team scored the winning basket in the last second of the game! The 11 basketball players from the Georgetown team ran around the court giving each other high fives. If each player have each teammate a high five, how many high fives would be given in all?

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step-by-step explanation:

geometry: triangles

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lessons

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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