Where it the point of concurrency of the angle bisectors of a triangle

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Answer:

Incentre

Step-by-step explanation:

A triangle is a closed area in a plane bounded by three lines known as sides of a triangle.

There will be 3 angles in a triangle.

Consider the point of concurrency of three bisectors.

Let ABC be one triangle and AI and BI are bisectors of A and B meeting at I.

Then we have since AI is angle bisector of A, I would be equidistant from sides BA and AC. Similarly since BI is angle bisector of B, I would be equidistant form BC and BA.

It follows that I is equidistant from all the sides, and hence a centre can be drawn touching all sides of the triangle.

The circle is called in circle and the point I, the point of concurrency of the angle bisectors of a triangle, is the incentre of the triangle.

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