Construct an equilateral triangle, given its side and justify the construction.

Question

Philoid · Accepted Answer

Steps of construction:

Step 1: Draw a line segment AB = 4cm.

Step 2: Taking A and B as centres, make two arcs.

Step 3: With D and E as centres, make two arcs cutting the previous arcs respectively and forming an angle of 60⁰ each.

Step 4: Extend the lines from A and B to intersect each other at C.

Thus, ABC is the required triangle formed