HELP DONT UNDERSTAND THIS

Given:

A diagram of two triangles.

To find:

Check whether the triangles are similar or not.

Solution:

In triangle ABC and triangle UVT,

Two corresponding angles of the triangles are congruent. So,

      (AA property of similarity)

Therefore, the given triangles are similar by AA property of similarity.

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+

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