Triangle Side Lengths: Is 2X, 2X, 4X an Equilateral Triangle?

Question

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

2X2X2XAAACCCBBB4X

Video Solution

Solution Steps

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

Step-by-Step Solution

To determine if the triangle is equilateral, let's check the lengths of its sides:

  • The first side is 2X 2X .
  • The second side is 2X 2X .
  • The third side is 4X 4X .

For a triangle to be equilateral, all side lengths must be the same, i.e., 2X=2X=4X 2X = 2X = 4X . Clearly, 2X≠4X 2X \neq 4X . Therefore, the sides are not equal.

Given that not all sides are of equal length, the triangle is not equilateral.

Therefore, the correct answer is No.

Answer

No

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Related Subjects

Types of Triangles Equilateral triangle Isosceles triangle Acute triangle Obtuse Triangle Scalene triangle Identification of an Isosceles Triangle Right Triangle

Question Types

Types of Triangles: Identifying and defining elements