Question

Triangle mrn is created when an equilateral triangle is folded in half. What is the value of x?

1) 2 square root 3 units
2) 4 square root 3 units
3) 6 square root 3 units
4) 8 square root 3 units

Answer 1

The value of x in the folded triangle is half the length of the side of the original equilateral triangle.

Step-by-step explanation:

To find the value of x, let's consider the properties of the equilateral triangle and the triangle formed by folding it in half. An equilateral triangle has all three sides equal in length. When it is folded in half, the resulting triangle will have one side that is half the length of the original side. Let's call the length of the original side L. So, the length of one side of the folded triangle is L/2. According to the given options, x is equal to either 2√3, 4√3, 6√3, or 8√3 units. Since the length of one side of the folded triangle is half of the original side, we can deduce that x = L/2. Therefore, the value of x would be half the value of the side length of the original equilateral triangle.
Therefore, the answer is 2√3 units.