in the right triangle, the hypotenuse is 21.5 cm one of the angles is 14 degrees what is the length of the of the side adjacent to the 14 degree angle? draw a diagram to help solve the problem

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

what i would say the best answer is a. 40.5

b. f(x) = –√x + 3this is the correct answer