Aschool principal orders 75 boxes of chalk. each box has 12 sticks of chalk, the school has 23 teachers. does the principal have enough chalk to give each teacher 40 sticks? if yes, how many sticks are left over? if no, how many more sticks does the principal need?

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: the answer is ann