Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A C is 9 and the length of hypotenuse C B is 18. Which trigonometric ratios are correct for triangle ABC? Select three options. sin(C) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction cos(B) = StartFraction StartRoot 2 EndRoot Over 3 EndFraction tan(C) = StartRoot 3 EndRoot sin(B) = One-half tan(B) = StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction

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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

step-by-step explanation: hi!