A volleyball league invited 84 teams to compete in
a tournament. After each round
half of the teams were
eliminated. Which equation
represents the number of
teams, t, that remained in the
tournament after r rounds?

y=mx+

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+

25.45584

the answer is

a.

x = 42

y = 10

i got it down chief.