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Find the circumradius of triangle ABC.

 

 Jun 2, 2024

Best Answer 

 #1
avatar+759 
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There's a pretty handy formula to find the circumradius of a triangle. 

We have \(\frac{(abc)}{\sqrt{(a + b + c)(b + c - a)(c + a - b)(a + b - c)}}\) where a, b, and c are the sidelegnths. 

 

Here, we just have \(\frac{a^3}{\sqrt{3a^4}} = \frac{a^3}{a^2 \cdot \sqrt3}= \frac{a}{\sqrt{3}}\)

 

So \(\frac{a}{\sqrt3}\) is our answer. 

 

Thank You! :)

 

This was the post that got me to 300 points LOL :)

 Jun 2, 2024
edited by NotThatSmart  Jun 2, 2024
 #1
avatar+759 
+1
Best Answer

There's a pretty handy formula to find the circumradius of a triangle. 

We have \(\frac{(abc)}{\sqrt{(a + b + c)(b + c - a)(c + a - b)(a + b - c)}}\) where a, b, and c are the sidelegnths. 

 

Here, we just have \(\frac{a^3}{\sqrt{3a^4}} = \frac{a^3}{a^2 \cdot \sqrt3}= \frac{a}{\sqrt{3}}\)

 

So \(\frac{a}{\sqrt3}\) is our answer. 

 

Thank You! :)

 

This was the post that got me to 300 points LOL :)

NotThatSmart Jun 2, 2024
edited by NotThatSmart  Jun 2, 2024

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