at westville highschool there are 315 seniors and 389 juniors 65% of the seniors have parking passes and 42% of the juniors have parking passes the statistics teacher selects an SRS of 30 seniors and a seperate SRS of 30 juniors

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

it has to have an angle of 90 degrees

the answer is z7+8/5