Explanation
Correct answer: A.
Choice A is correct. It's given that each side of equilateral triangle S is multiplied by a scale factor of to create equilateral triangle T. Since the length of each side of triangle T is greater than the length of each side of triangle S, the scale factor of must be greater than . Of the given choices, only is greater than .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. If each side of equilateral triangle S is multiplied by a scale factor of , the length of each side of triangle T would be equal to the length of each side of triangle S.
Choice C
Choice C is incorrect. If each side of equilateral triangle S is multiplied by a scale factor of , the length of each side of triangle T would be less than the length of each side of triangle S.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.