Triangle Side Analysis: Determining if ABC is an Equilateral Triangle

Question

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

AAACCCBBBX+X

Video Solution

Solution Steps

00:00 Determine whether the triangle is equilateral
00:02 Calculate the side lengths according to the given data
00:05 All sides are equal, therefore the triangle is equilateral
00:08 This is the solution

Step-by-Step Solution

To determine whether the triangle is equilateral, follow these steps:

  • Simplify each side of the triangle, labelled as "X+X", to express it as 2X2X.
  • Check the lengths of the sides:
    • The first side is 2X2X.
    • The second side is also 2X2X.
    • The third side is again 2X2X.
  • Since all three sides have the same length of 2X2X, the triangle is equilateral.

Therefore, the conclusion is that the triangle is indeed equilateral.

The solution corresponds to choice 2.

Yes

Answer

Yes

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