A class survey found that 49 students watched the Olympics on television on Saturday and 51 watched on Sunday. Of those who watched the Olympics on only one of these days, 10 choose Saturday and 12 chose Sunday. Of every student watched at least one of these days, how many students are in the class?

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

answer: rolling a number cube and flipping a coin.

step-by-step explanation:

hm let me think hm think think hm think yes