What is the circumradius of an equilateral triangle with side length a?

Practice Questions

Q1
What is the circumradius of an equilateral triangle with side length a?
  1. a/√3
  2. a/2
  3. a/√2
  4. a/√3

Questions & Step-by-Step Solutions

What is the circumradius of an equilateral triangle with side length a?
  • Step 1: Understand that the circumradius is the radius of the circle that can be drawn around the triangle, touching all its vertices.
  • Step 2: Know that for an equilateral triangle, all sides are equal and all angles are 60 degrees.
  • Step 3: Use the formula for the circumradius R of an equilateral triangle, which is R = a / (√3).
  • Step 4: Substitute the side length 'a' into the formula to find the circumradius.
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