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

1. Problem Description

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

2. Solution Steps

To construct an equilateral triangle with sides of 7cm:

Step 1: Draw a line segment of length 7cm. Let the endpoints be A and B.

Step 2: Open the compass to a length of 7cm.

Step 3: Place the compass point on A and draw an arc.

Step 4: Place the compass point on B and draw an arc.

Step 5: The intersection of the two arcs is the third vertex of the triangle. Call this vertex C.

Step 6: Draw a line segment from A to C and from B to C.

Triangle ABC is the desired equilateral triangle with side length 7cm.

3. Final Answer

An equilateral triangle with side length 7cm has been constructed.