Question

The circum radius of the triangle formed by the points $(0,0,0)$, $(0,0,12)$ and $(3,4,0)$ is

• A. $\sqrt{156}$
• B. $13$
• C. $\frac{13}{2}$
• D. $8$

Answer 1

The correct option is C $\frac{13}{2}$

Center of the circum circle of a right angle triangle is on the mid of the hypotenuse.

Hence the radius is the half of the length of the hypotenuse.

$\frac{\sqrt{3^2+4^2+{12}^2}}{2}=\frac{13}{2}$