Question

If all the angle bisectors of a triangle pass through the same point, they are said to be concurrent. How many angle bisectors pass through the same point? (a) 2 (b) 1 (c) 3 (d) None

Answer 1

In every triangle, the three angle bisectors always pass through one common point and are thus concurrent.

The correct answer is (c) 3.

Step-by-step explanation:

In a triangle, each of the three angles has a bisector which splits it into two equal parts. An interesting property of these bisectors is that they all pass through a single point. Hence, they are concurrent lines.

Therefore, the answer is (c) 3 angle bisectors of a triangle pass through the same point.

Learn more about Concurrent Lines