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What is the circumradius R of a triangle with sides a, b, c?
What is the circumradius R of a triangle with sides a, b, c?
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Practice Questions
1 question
Q1
What is the circumradius R of a triangle with sides a, b, c?
abc/4A
A/(abc)
2A/(a+b+c)
a+b+c/2
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The circumradius R of a triangle is given by the formula R = abc/(4A), where A is the area of the triangle.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the circumradius R of a triangle with sides a, b, c?
Solution:
The circumradius R of a triangle is given by the formula R = abc/(4A), where A is the area of the triangle.
Steps: 6
Show Steps
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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