The incentre of a triangle is determined by the:

This question was previously asked in
UP TGT Mathematics 2016 Official Paper
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  1. altitudes
  2. angle bisectors
  3. medians
  4. perpendicular bisectors of the sides

Answer (Detailed Solution Below)

Option 2 : angle bisectors
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Detailed Solution

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Concept:

According to Euclidean geometry, The three interior angle bisectors of a triangle meet at a single point. The incenter lies at equal distances from the three line segments forming the sides of the triangle and also from the three lines containing those elements.

So, the Incenter of a triangle is determined by Angle bisectors.

Additional Information

The incentre is one of the triangle's points of concurrency formed by the intersection of the triangle's three-angle bisectors.

If the triangle is obtuse, then the incentre is located in the triangle's interior.

If the triangle is acute, then the incentre is also located in the triangle's interior.

If the triangle is right, then the incentre is also located in the triangle's interior.

 

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