Given a triangle, inscribe a circle.

1. Begin with triangle KLM.

2. Construct the bisectors of Ð K and Ð L. (Refer to the angle bisector construction.) Let point Q be the intersection of the two angle bisectors.

3. Construct a line through point Q, perpendicular to line segment KL. Let point R be the point of intersection. (Refer to the construction of a perpendicular line through a given point.)

4. Center the compass on point Q, and draw a circle through point R. The circle will be tangent to all three sides of a triangle.

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