The problem asks us to construct an equilateral triangle with a side length of 7 cm using a compass and pencil.

1. Problem Description

The problem asks us to construct an equilateral triangle with a side length of 7 cm using a compass and pencil.

2. Solution Steps

Here are the steps to construct an equilateral triangle with a side of 7 cm using a compass and a pencil.

Step 1: Draw a line segment of length 7 cm. Label the endpoints as A and B. This line segment will form one side of the equilateral triangle.

Step 2: Open the compass to a radius of 7 cm. This is the length of the sides of the equilateral triangle.

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

Step 4: Place the compass point on point B and draw another arc above the line segment AB. The two arcs should intersect.

Step 5: Label the point of intersection of the two arcs as point C.

Step 6: Draw a straight line from point A to point C.

Step 7: Draw a straight line from point B to point C.

Now, the triangle ABC is an equilateral triangle with each side measuring 7 cm.

3. Final Answer

An equilateral triangle with a side length of 7 cm can be constructed using the steps described above.