Proof: Sides of an Equilateral Triangle

Let's prove the following theorem:

if △ABC is an equilateral triangle, then distance BC = distance AC

A B C

Proof:

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Given
1 △ABC is an equilateral triangle
Proof Table
# Claim Reason
1 distance AB = distance BC if △ABC is an equilateral triangle, then distance AB = distance BC
2 distance AB = distance AC if △ABC is an equilateral triangle, then distance AB = distance AC
3 distance BC = distance AC if distance AB = distance BC and distance AB = distance AC, then distance BC = distance AC

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