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
AC = BC = AB
∴ ∆ABC is an equilateral triangle.
Thus, the Construction is justified.