Question

In order to inscribe a circle in a triangle, which line must you construct?

A) median
B) altitude
C) diagonal
D) angle bisector

Answer 1

You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.

The correct answer is D. angle bisector.

Hope this helps =)

Answer 2

D) angle bisector.

Explanation:

The point of intersection of the angle bisector is called the incentre of the triangle.The incircle is the point inside a triangle from which the largest circle can be drawn inside the triangle.

The circle touches the three sides of the triangle.The centre of incircle is called the incentre of the triangle.

In order to inscribe a circle in a triangle we must construct the angle bisector of the angles of the triangle.