Find the cosine of ∠I. Write your answer in simplified, rationalized form. Do not round.
cos (I) =

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+

25.45584

i believe it’s 165 because if u add 137 and 58 u get 195 and then subtract that from 360 and there’s ur answer

96 cm is the answer.