Help with geometry.

A point P is on the interior of an acute triangle ABC. Find the measure of the angle BPC in order to the sum PA+PB+PC be minimum.

a)120 , b)124, c)118, d)160, e)218

Question

Help with geometry.

A point P is on the interior of an acute triangle ABC. Find the measure of the angle BPC in order to the sum PA+PB+PC be minimum.

a)120 , b)124, c)118, d)160, e)218

anonymous · Answer

The problem looks like this, any idea?

ivancsc1996 · Answer

360 divided 3

directrix · Answer

@Juarismi The Fermat Point and Generalizations Your problem looks a lot like the one at this link: http://www.cut-the-knot.org/Generalization/fermat_point.shtml Enter "PA + PB + PC minimum as possible" in Google search and take a look at the search results.