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

Answer 1

The problem looks like this, any idea?

Answer 2

360 divided 3

Answer 3

@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.