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Answer:
no, the triangles are not similar
Explanation:
The given ratios tell you corresponding side ratios are ...
ED : DC : EC = 8 : 10 : 12 = 4 : 5 : 6
AB : BC : AC = 12 : 15 : 21 = 4 : 5 : 7
Corresponding sides do not have the same ratios. The given information can be used to prove the triangles are NOT similar.