Sum of isosceles distances a. An isosceles triangle has a base of length 4 and two sides of length 2V2. Let Pbe a point on the perpendicular bisector of the base. Find the location P that minimizes the sum of the dis- tances between Pand the three vertices. b. Assume in part (a) that the height of the isosceles triangle is h > 0 and its base has length 4. Show that the location of P that gives a minimum solution is independent of h for 2 Y3

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Sum of isosceles distances
a. An isosceles triangle has a base of length 4 and two sides of
length 2V2. Let Pbe a point on the perpendicular bisector of
the base. Find the location P that minimizes the sum of the dis-
tances between Pand the three vertices.
b. Assume in part (a) that the height of the isosceles triangle
is h > 0 and its base has length 4. Show that the location
of P that gives a minimum solution is independent of h for
2
Y3
Transcribed Image Text:Sum of isosceles distances a. An isosceles triangle has a base of length 4 and two sides of length 2V2. Let Pbe a point on the perpendicular bisector of the base. Find the location P that minimizes the sum of the dis- tances between Pand the three vertices. b. Assume in part (a) that the height of the isosceles triangle is h > 0 and its base has length 4. Show that the location of P that gives a minimum solution is independent of h for 2 Y3
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