Question

For introducing incircle of a triangle in class X, a good teacher will start with :

• A. perpendicular bisector of a chord of a circle
• B. perpendicular bisectors of the sides of the triangle
• C. altitudes of the triangle
• D. angle bisectors of the triangle

Answer 1

Answer:

D. angle bisectors of the triangle

Yes, for introducing the incircle of a triangle in class X, a good teacher will typically start with the angle bisectors of the triangle.

The incircle of a triangle is the circle that is tangent to all three sides of the triangle. The center of the incircle is called the incenter, and it is the point of intersection of the angle bisectors of the triangle.

By first discussing the angle bisectors, the teacher can guide students to understand that the incenter is equidistant from all sides of the triangle and that the angle bisectors play a crucial role in finding the center of the incircle. This provides a natural progression from geometric properties to the concept of the incircle.