Respuesta :

Answer:

  b.  not similar

Step-by-step explanation:

Side SC of the smaller triangle is ...

  96 -57 = 39

So, the side lengths of the small triangle, shortest to longest, are ...

  39, 40, 44

Side ST of the larger triangle is ...

 44 +64 = 108

So, the side lengths of the large triangle, shortest to longest, are ...

  96, 96, 108

These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.

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Additional comment

The larger triangle is isosceles. The smaller triangle is not.

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