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Half Angle

Math Content:

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.

Sorry, this page requires a Java-compatible web browser.

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?