The hypotenuse of two triangles combined is 20.8 and ras has a leg of 6.37 that tes has a corresponding leg to which is 8.19. both triangles are similar. they are connected together to where s is a vertical angle. find the length of st

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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+

25.45584

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