If AB = BC = 4,680 mm in triangle ABC, which additional condition would show that ABC is equilateral?

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Multiple Choice

If AB = BC = 4,680 mm in triangle ABC, which additional condition would show that ABC is equilateral?

Explanation:
The main idea is that a triangle is equilateral only when all three sides are equal. Here two sides are already given as the same length: 4,680 mm. To guarantee that the third side matches those, AC must also be 4,680 mm. If AC equals 4,680 mm, then AB, BC, and AC are all equal, so the triangle is equilateral. If AC were any other length, the triangle would not be equilateral even though AB and BC are equal. Therefore, the direct condition that shows the triangle is equilateral is AC equal to 4,680 mm.

The main idea is that a triangle is equilateral only when all three sides are equal. Here two sides are already given as the same length: 4,680 mm. To guarantee that the third side matches those, AC must also be 4,680 mm. If AC equals 4,680 mm, then AB, BC, and AC are all equal, so the triangle is equilateral. If AC were any other length, the triangle would not be equilateral even though AB and BC are equal. Therefore, the direct condition that shows the triangle is equilateral is AC equal to 4,680 mm.

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