SOLUTION: In triangle ABC, the measure of angle A=36 AB=22, and AC=12; in triangle DEF the measure of angle D=36, DE=44, and DF=24. Justify whether or not the triangles are similar.

Question 397236: In triangle ABC, the measure of angle A=36 AB=22, and AC=12; in triangle DEF the measure of angle D=36, DE=44, and DF=24. Justify whether or not the triangles are similar.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Triangles are similar if they have the same shape, but can be different sizes.
In your case triangle , the measure of angle ,,
and ;
and in triangle the measure of angle , , and
.
as we can see:
1. are the ;
2. are all in the

Above, is the length of .
Therefore, the other pairs of sides are also in that proportion. is

and is .
Formally, in triangles and you have:

so, your triangles similar

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