Triangle Side Analysis: Verifying Equilateral Properties with 6-Unit Sides

Given the size of the 3 sides of the triangle, is it an equilateral triangle?

AAACCCBBB6

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00:00 Determine whether the triangle is equilateral
00:03 According to the given side lengths, the triangle is equilateral
00:06 This is the solution

Step-by-step written solution

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1

Understand the problem

Given the size of the 3 sides of the triangle, is it an equilateral triangle?

AAACCCBBB6

2

Step-by-step solution

To determine if the triangle is equilateral, we need to verify if all three sides are of equal length. The given side lengths are:

  • AB=6 AB = 6
  • BC=6 BC = 6
  • CA=6 CA = 6

An equilateral triangle is one in which all sides are equal. Thus, we check the equality:

AB=BC=CA AB = BC = CA .

Substituting the given values, we have:

  • 6=6=6 6 = 6 = 6

Since all three sides of the triangle are indeed equal, we conclude that the triangle is an equilateral triangle.

Therefore, the correct answer is Yes.

3

Final Answer

Yes

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In a right triangle, the side opposite the right angle is called....?

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