Problem 82 of 7
Explain why angle bisectors locate the incenter of any triangle.
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use equal distance from sides.
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Explanation must use equal perpendicular distances from sides.
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Solution
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1. State the angle-bisector distance property.
2. Apply it to two or three triangle angles.
3. Conclude the intersection is equidistant from all sides and is the incenter.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Equidistance from vertices, which describes the circumcenter.