State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~

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.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.