A
mm
B
mm
C
mm
D
mm
Explanation
Correct answer: A.
Choice A is correct. In an equilateral triangle, all three sides have the same length. It's given that in triangle , mm and mm. Therefore, if mm, then all three sides of triangle have the same length, so triangle is equilateral. Therefore, mm is sufficient to prove that triangle is equilateral.
Desmos solution:
Note: An equilateral triangle has all three sides equal, so AC must equal 4680 mm.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.