There are three kinds of apples all mixed up in a basket. how many apples must you draw (without looking) from the basket to be sure of getting at least two of one kind?

4

Step-by-step explanation: Minimum number of apples you can take without looking before you get either a,b or c is 4 because there are only 3 apples in the basket

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