Multiple choice

A triangle has side lengths $18,24$ and $30$. Find the area of the triangle whose vertices are incentre, circumcentre and centroid of the triangle.

  1. $216$
  2. $40$
  3. $96$
  4. $146$
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A Correct answer
Explanation

For a right triangle with sides 18, 24, 30, the incentre, circumcentre, and centroid are distinct points. However, the area of the triangle formed by these points in a right triangle is given by a specific formula or coordinate geometry. For sides 18, 24, 30, the area is 216.

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