Use a proportion to find the length of side x for the pair of similar figures below

Wouldn’t it just be 26?

Step-by-step explanation:

I’m not in highschool yet but I am in advanced and I believe that since it was 10 and turned into 22 wouldn’t you just add 12? Sorry if I’m wrong.

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