Given a triangle ABC, how would you use only a compass and straight edge to find a point P such that triangles ABP, ACP and BCP have equal perimeters? (Assume that ABC is constructed so that a solution does exist.)

Given a triangle ABC, how would you use only a compass and
straight edge to find a point P such that triangles ABP, ACP
and BCP have equal perimeters? (Assume that ABC is
constructed so that a solution does exist.)

Ques:- Given a triangle ABC, how would you use only a compass and straight edge to find a point P such that triangles ABP, ACP and BCP have equal perimeters? (Assume that ABC is constructed so that a solution does exist.)
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2 Answers on this Question

  1. The answer probably lies in finding the in-centre of the
    traingle. Bisect all the angles of the triangles and the
    point where these angle bisectors meet gives u the point P

  2. take a equilateral 3angle…. place compass pt @ each vertices.. draw an arc… mark d pt wr all arcs meet.. thats d pt P ….. thus it gives 3angle of equal perimeter

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