Question

Show that all angles in a equilateral triangle are equal

Answer 1

Dear Student,

⇒Answer :

Given:-  

let ABC is an equilateral triangle  

∴AB=BC=AC

(all sides of an equilateral triangle are equal)

To prove:

∠A=∠B=∠C

Proof:

AB=AC

⟹∠B=∠C -------(1)   [∵ angles opposite to equal sides are equal ]

BC=AC

⟹∠A=∠B  --------(2)   [∵ angles opposite to equal sides are equal ]

From (1) and (2)

∠A=∠B=∠C

Hence proved.