**
Ex 11.1, 5
**

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

Let equilateral triangle be ABC

- Draw AB = 5 cm
- Taking A and B as centers, radius = AB = 5 cm, draw two two arcs intersecting each other at A
- Join AB and AC

Thus Δ ABC is our required triangle

**
Justification
**

By construction,

AC = BC = AB

∴ ∆ABC is an equilateral triangle.

Thus, the Construction is justified.