27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the line segment that joins B to the origin. Find the position of P that mini- mizes the sum of the distances between P and the vertices.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
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27. Let ABC be a triangle with vertices A = (-3,0),
B = (0, 6), C = (3, 0). Let P be a point on the line segment
that joins B to the origin. Find the position of P that mini-
mizes the sum of the distances between P and the vertices.
Transcribed Image Text:27. Let ABC be a triangle with vertices A = (-3,0), B = (0, 6), C = (3, 0). Let P be a point on the line segment that joins B to the origin. Find the position of P that mini- mizes the sum of the distances between P and the vertices.
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