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In the given triangle ABC, find a point P equidistant from AB and AC; and also equidistant from B and C.

In the given triangle ABC, find a point P equidistant from AB and AC; and also equidistant from B and C. Loci, Concise Mathematics Solutions ICSE Class 10.

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Answer

Steps of construction :

  1. In the given triangle, draw the angle bisector of ∠BAC.

  2. Draw the perpendicular bisector of BC which intersects the angle bisector at P.

In the given triangle ABC, find a point P equidistant from AB and AC; and also equidistant from B and C. Loci, Concise Mathematics Solutions ICSE Class 10.

Since, P lies on angle bisector of ∠BAC and also perpendicular bisector of BC.

Hence, P is the required point.

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