Yes, the triangles ΔAYM ∼ ΔEDC by SSS criterion of similarity.
What is similarity of triangles?
If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar.
What is SSS similarity of triangles?
The two triangles are similar if the three sides of one triangle are proportional to the three sides of the other.
According to SSS criterion of similarity:
CE / AM = ED / AY = CD / MY
3 / 6 = 4 / 8 = 5 / 10
1/2 = 1/2 = 1/2
Hence ΔAYM and ΔEDC are similar by SSS criterion of similarity.
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