Divya and Miguel were asked to find an explicit formula for the sequence 80, 40, 20, 10, ..., where the first term should be h(1)
Divya said the formula is h(n) = 80
and
Miguel said the formula is hin) - 160
Which one of them is right?

i belive those are the ones that are under 90 degreese.

geometry: triangles

solvers

lessons

answers archive

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+

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