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Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Easy

In triangle $A B C$ , $upper A upper B equals 4,680 millimeters left parenthesis mm right parenthesis$ and $upper B upper C equals 4,680 mm$ . Which statement is sufficient to prove that triangle $A B C$ is equilateral?

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Explanation

Choice A is correct. In an equilateral triangle, all three sides have the same length. It’s given that in triangle $A B C$ , $upper A upper B equals 4,680 millimeters$ and $upper B upper C equals 4,680 millimeters$ . Therefore, if $upper A upper C equals 4,680 millimeters$ , then all three sides of triangle $A B C$ have the same length, so triangle $A B C$ is equilateral. Therefore, $upper A upper C equals 4,680 millimeters$ is sufficient to prove that triangle $A B C$ is equilateral.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.