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What is the circumradius R of a triangle with sides a, b, c?

Practice Questions

Q1
What is the circumradius R of a triangle with sides a, b, c?
  1. abc/4A
  2. A/(abc)
  3. 2A/(a+b+c)
  4. a+b+c/2

Questions & Step-by-Step Solutions

What is the circumradius R of a triangle with sides a, b, c?
  • Step 1: Understand that the circumradius R is the radius of the circle that can be drawn around the triangle.
  • Step 2: Know that the formula to find the circumradius R is R = abc / (4A).
  • Step 3: Identify the sides of the triangle as a, b, and c.
  • Step 4: Calculate the area A of the triangle using a suitable method (like Heron's formula or base-height method).
  • Step 5: Substitute the values of a, b, c, and A into the formula R = abc / (4A).
  • Step 6: Perform the calculations to find the value of R.
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