Question

The vertices of a triangle are (6, 0), (0, 6) and (6, 6), the distance between its circumcentre and centroid is

• A. $2\sqrt{2}$
• B. 2
• C. $\sqrt{2}$
• D. 1

Answer 1

Answer: (C)

$\sqrt{2}$

Answer 2

6² + 6² = 36 + 36

Right angle triangle

circum centre Ž mid point of hypotenuse

$\left( \frac{0 + 6}{2},\frac{6 + 0}{2} \right)$ ŗ (3, 3)

centroid = $\left( \frac{6 + 0 + 6}{3},\frac{0 + 6 + 6}{3} \right)$ ŗ (4, 4)