A boutique sold 72 designers outfits and 24 pieces of jewelry over the Christmas weekend. Find the ratio of the number of outfits sold to the pieces of jewelry sold. Scale down to reduce to the lowest terms. Show work​

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

c

step-by-step explanation:

the answer to this is a. a^2 + b^2 = c^2