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.
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