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Q.

Which of the following is not the property of centroid of triangle?

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a

It is considered one of the three points of concurrency in a triangle,

b

The centroid is positioned inside a triangle

c

The centroid of a triangle is placed outside a triangle.

d

The centroid of a triangle is located at the intersecting point of all three medians of a triangle

answer is D.

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Detailed Solution

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The important properties of the centroid of a triangle include the following:

  • The centroid of a triangle is something that is located at the intersecting point of all three medians of a triangle that is inside the triangle.
  • It is considered one of the three points of concurrency in a triangle, i.e., incenter, circumcenter, and centroid.
  • The centroid is always positioned inside a triangle.
  • At the point of intersection, each median in a triangle is divided in the ratio of 2: 1.

Therefore, 'The centroid of a triangle is placed outside a triangle.' is not the property of a centroid.

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