If the greatest value of n is 8, which inequality best shows all the possible values of n?
a).n < 8
b).n > 8
c).n ≤ 8
d).n ≥ 8

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

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3