At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of
left- and right-handed students at West Junior High are proportional to the numbers at East Middle School.
Which of the following could be the numbers of left-handed and right-handed students at West Junior
High?

The answers are C, and E

Step-by-step explanation:

C: Left-handed: 48

Right-handed: 504

E: Left-handed: 30

Right-handed: 315

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

step-by-step explanation: