The problem asks to construct an equilateral triangle using a pair of compass and a pencil, given a triangle below. Since the given triangle below is not defined, I will interpret the problem as constructing an equilateral triangle given one side.

1. Problem Description

The problem asks to construct an equilateral triangle using a pair of compass and a pencil, given a triangle below. Since the given triangle below is not defined, I will interpret the problem as constructing an equilateral triangle given one side.

2. Solution Steps

Here's how to construct an equilateral triangle using a compass and pencil, given one side:

* Step 1: Draw a line segment. This will be one side of the equilateral triangle. Let's call the endpoints of this line segment A and B.

* Step 2: Set the compass width to the length of the line segment AB.

* Step 3: Place the compass point on A and draw an arc above the line segment.

* Step 4: Place the compass point on B and draw another arc above the line segment. Make sure this arc intersects the first arc you drew.

* Step 5: The point where the two arcs intersect is the third vertex of the equilateral triangle. Let's call this point C.

* Step 6: Use a pencil to draw a straight line connecting point A to point C.

* Step 7: Use a pencil to draw a straight line connecting point B to point C.

Now, triangle ABC is an equilateral triangle, meaning that all three sides (AB, AC, BC) have the same length.

3. Final Answer

The equilateral triangle ABC is constructed. The sides AB, AC, and BC are equal in length.