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No. That's why they are called "similar" and not "congruent".

Here's a list of 12 different triangles. Every one of them is similar

to all the other 11, but no two of them are congruent:

Lengths of sides:

=> 1, 1.5, 2

=> 2, 3, 4

=> 3, 4.5, 6

=> 4, 6, 8

=> 5, 7.5, 10

=> 6, 9, 12

=> 7, 10.5, 14

=> 8, 12, 16

=> 9, 13.5, 18

=> 10, 15, 20

=> 11, 16.5, 22

=> 12, 18, 24

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15y ago

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