Triangle ghi is dilated to create triangle jkl on a coordinate grid. you are given that angle h is congruent to angle k. what other information is required to prove that the two triangles are similar?

angle i is congruent to angle l.

segment gi is congruent to segment jl and segment hi is congruent to segment kl.

angle h is congruent to angle j.

segments gh and jk are congruent.

geometry: triangles

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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: