MathDB
distance product(KgNM2010)

Source:

April 25, 2011
geometrygeometry unsolved

Problem Statement

Point OO is chosen in a triangle ABCABC such that da,db,dc{d_a},{d_b},{d_c} are distance from point OO to sides BC,CA,ABBC,CA,AB, respectively. Find position of point OO so that product da⋅db⋅dc{d_a} \cdot {d_b} \cdot {d_c} becomes maximum.
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