Each side of equilateral triangle S is multiplied by a scale factor of k to create equilateral triangle T. The

Question

Each side of equilateral triangle S is multiplied by a scale factor of $k$ to create equilateral triangle T. The length of each side of triangle T is greater than the length of each side of triangle S. Which of the following could be the value of $k$ ?

A.

$StartFraction 29 Over 28 EndFraction$

B.

$1$

C.

$StartFraction 28 Over 29 EndFraction$

D.

$0$

Accepted Answer

Choice A is correct. It's given that each side of equilateral triangle S is multiplied by a scale factor of k 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 k must be greater than 1 . Of the given choices, only 29 28 is greater than 1 . Choice B is incorrect. If each side of equilateral triangle S is multiplied by a scale factor of 1 , the length of each side of triangle T would be equal to the length of each side of triangle S. Choice C is incorrect. If each side of equilateral triangle S is multiplied by a scale factor of 28 29 , the length of each side of triangle T would be less than the length of each side of triangle S. Choice D is incorrect and may result from conceptual or calculation errors.

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