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What is the circumradius of an equilateral triangle with side length a?
What is the circumradius of an equilateral triangle with side length a?
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Practice Questions
1 question
Q1
What is the circumradius of an equilateral triangle with side length a?
a/√3
a/2
a/√2
a/√3
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The circumradius R of an equilateral triangle is given by R = a/(√3).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the circumradius of an equilateral triangle with side length a?
Solution:
The circumradius R of an equilateral triangle is given by R = a/(√3).
Steps: 4
Show Steps
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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