Question

Construct an equilateral triangle of 8 cm on the line AB.

Hint:

The key to constructing an equilateral triangle is that the radius of the arcs must be exactly equal to the length of the base line segment. Use a sharp pencil for accuracy.

Answer 1

Step 1: Understanding the Task
The task is to construct a triangle where all three sides are of equal length, specifically 8 cm, using a given line segment AB as the base.
Step 2: Steps of Construction
Using a ruler, draw a line segment AB of length 8 cm. This will be the base of the triangle.
Set your compass to a radius of 8 cm (the length of the side).
Place the compass point on point A and draw an arc above the line segment AB.
Without changing the compass width, move the compass point to point B and draw another arc that intersects the first arc.
Label the point of intersection of the two arcs as C.
Use a ruler to draw a straight line connecting point A to point C.
Draw another straight line connecting point B to point C.
The resulting figure, triangle ABC, is the required equilateral triangle with all sides measuring 8 cm.