## Half Angle

If you want to inscribe a circle within a triangle, where will the center of the circle lie? This applet allows you to find the incenter of a triangle, as well an a visual explanation of why it occurs where it does.

The **Show/Hide** buttons can be used to show the angle bisectors as well as a circle with its center at the intersection of the angle bisectors.

Drag the indicated point on the circle until the circle is tangent to all three sides of the triangle.

A circle inscribed in a circle is known as an *incircle*. The center of this circle is known as the *incenter* of the triangle.

- Where does the incenter occur?