What dividend is represented by the synthetic division below?
2 10 1 5
-5 -10 0 5
2 0 1 0
- 10x² - 5
2x+10x2+x+5
2x2 +1
2x² + x

geometry: triangles

solvers

lessons

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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

it is 10.6 according to my calculations