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CD^(harr) is the bisector of /_C. Construct the incenter of /_\ABC.

CDundefined \overleftrightarrow{C D} is the bisector of ∠C \angle C . Construct the incenter of △ABC \triangle A B C .

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Find trigonometric ratios using a Pythagorean or reciprocal identityright chevron icon

Full solution

Q. CDundefined \overleftrightarrow{C D} is the bisector of ∠C \angle C . Construct the incenter of △ABC \triangle A B C .
  1. Find Angle Bisectors: Find the angle bisectors of the other two angles, AA and BB, in triangle ABCABC.
  2. Locate Incenter: Where the three angle bisectors intersect is the incenter of the triangle.
  3. Draw Bisectors: Use a compass and straightedge to draw the angle bisectors from angles AA and BB.
  4. Mark Intersection Point: Mark the point where all three bisectors meet; this point is the incenter.
  5. Draw Circle: Draw the circle with the incenter as the center and radius reaching any side of the triangle.

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