Multiple choice

$A = (2, 2), B = (2, 5)$ and $C (5, 2)$ form a triangle. The circumcentre of $\Delta ABC$ is

  1. $(3, 3)$
  2. $(2, 2)$
  3. $(3.5, 3.5)$
  4. $(2.5, 2.5)$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The points are (2,2), (2,5), (5,2). This is a right-angled triangle at (2,2). The circumcenter of a right triangle is the midpoint of the hypotenuse. Hypotenuse connects (2,5) and (5,2). Midpoint = ((2+5)/2, (5+2)/2) = (3.5, 3.5).

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