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Geometry

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Find the circumradius of triangle ABC.

Jun 2, 2024

Best Answer

#1
+1804
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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+0 Answers

#1
+1804
+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