Question

The point of concurrency of the angle bisectors of a triangle is called __________.

• A. Incentre
• B. Orthocentre
• C. Circumcentre
• D. Centroid

Answer 1

Answer: (A)

Incentre

In the triangle $ABC$ :

line AD bisects angle A $\Rightarrow \angle BAD=\angle DAC$

line BE bisects angle B $\Rightarrow \angle BAD=\angle DAC$

line CF bisects angle C $\Rightarrow \angle BAD=\angle DAC$

lines AD, BE and CF meets at point $I$ .

So,$I$ is called the $INCENTRE$ the triangle $ABC$.

$INCENTRE$ is one of a property of any triangle.