Use the letters a, b, c, d, e, and f. write all possible selections of three letters that can be formed from the letters. (the order of the three letters is not important. enter your answer as a comma-separated list of three-letter combinations. the order of these sets of letters is not important.)

geometry: triangles

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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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