Answer It is verified. Explanation Given: The diagram is given as, Calculation: The required diagram is shown in below figure. Consider the above figure, it is clear that the length S’HO is shorter than any length S’H’O by the triangle inequality principle. Thus, it is verified.

91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 13.5, Problem 12PSB

To determine

To verify:The path from S to H to O is shortest distance for S to the y axis to O.

Expert Solution & Answer

Answer to Problem 12PSB

It is verified.

Explanation of Solution

Given:

The diagram is given as,

Geometry For Enjoyment And Challenge, Chapter 13.5, Problem 12PSB , additional homework tip 1

Calculation:

The required diagram is shown in below figure.

Geometry For Enjoyment And Challenge, Chapter 13.5, Problem 12PSB , additional homework tip 2

Consider the above figure, it is clear that the length S’HO is shorter than any length S’H’O by the triangle inequality principle.

Thus, it is verified.

Chapter 13.5, Problem 11PSB

Chapter 13.5, Problem 13PSB

Chapter 13 Solutions

Geometry For Enjoyment And Challenge

Ch. 13.1 - Prob. 1PSA Ch. 13.1 - Prob. 2PSA Ch. 13.1 - Prob. 3PSA Ch. 13.1 - Prob. 4PSA Ch. 13.1 - Prob. 5PSA Ch. 13.1 - Prob. 6PSA Ch. 13.1 - Prob. 7PSA Ch. 13.1 - Prob. 8PSA Ch. 13.1 - Prob. 9PSA Ch. 13.1 - Prob. 10PSA

Ch. 13.1 - Prob. 11PSA Ch. 13.1 - Prob. 12PSB Ch. 13.1 - Prob. 13PSB Ch. 13.1 - Prob. 14PSB Ch. 13.1 - Prob. 15PSB Ch. 13.1 - Prob. 16PSB Ch. 13.1 - Prob. 17PSB Ch. 13.1 - Prob. 18PSB Ch. 13.1 - Prob. 19PSB Ch. 13.1 - Prob. 20PSB Ch. 13.1 - Prob. 21PSC Ch. 13.1 - Prob. 22PSC Ch. 13.1 - Prob. 23PSC Ch. 13.1 - Prob. 24PSC Ch. 13.2 - Prob. 1PSA Ch. 13.2 - Prob. 2PSA Ch. 13.2 - Prob. 3PSA Ch. 13.2 - Prob. 4PSA Ch. 13.2 - Prob. 5PSA Ch. 13.2 - Prob. 6PSA Ch. 13.2 - Prob. 7PSA Ch. 13.2 - Prob. 8PSA Ch. 13.2 - Prob. 9PSB Ch. 13.2 - Prob. 10PSB Ch. 13.2 - Prob. 11PSB Ch. 13.2 - Prob. 12PSB Ch. 13.2 - Prob. 13PSB Ch. 13.2 - Prob. 14PSB Ch. 13.2 - Prob. 15PSB Ch. 13.2 - Prob. 16PSB Ch. 13.2 - Prob. 17PSB Ch. 13.2 - Prob. 18PSB Ch. 13.2 - Prob. 19PSB Ch. 13.2 - Prob. 20PSC Ch. 13.2 - Prob. 21PSC Ch. 13.2 - Prob. 22PSC Ch. 13.2 - Prob. 23PSC Ch. 13.2 - Prob. 24PSC Ch. 13.2 - Prob. 25PSC Ch. 13.2 - Prob. 26PSC Ch. 13.2 - Prob. 27PSC Ch. 13.3 - Prob. 1PSA Ch. 13.3 - Prob. 2PSA Ch. 13.3 - Prob. 3PSA Ch. 13.3 - Prob. 4PSA Ch. 13.3 - Prob. 5PSB Ch. 13.3 - Prob. 6PSB Ch. 13.3 - Prob. 7PSB Ch. 13.3 - Prob. 8PSB Ch. 13.3 - Prob. 9PSB Ch. 13.3 - Prob. 10PSB Ch. 13.3 - Prob. 11PSB Ch. 13.3 - Prob. 12PSB Ch. 13.3 - Prob. 13PSC Ch. 13.3 - Prob. 14PSC Ch. 13.3 - Prob. 15PSC Ch. 13.3 - Prob. 16PSC Ch. 13.3 - Prob. 17PSC Ch. 13.3 - Prob. 18PSC Ch. 13.4 - Prob. 1PSA Ch. 13.4 - Prob. 2PSA Ch. 13.4 - Prob. 3PSA Ch. 13.4 - Prob. 4PSB Ch. 13.4 - Prob. 5PSB Ch. 13.4 - Prob. 6PSB Ch. 13.4 - Prob. 7PSC Ch. 13.4 - Prob. 8PSC Ch. 13.4 - Prob. 9PSC Ch. 13.5 - Prob. 1PSA Ch. 13.5 - Prob. 2PSA Ch. 13.5 - Prob. 3PSA Ch. 13.5 - Prob. 4PSA Ch. 13.5 - Prob. 5PSA Ch. 13.5 - Prob. 6PSA Ch. 13.5 - Prob. 7PSA Ch. 13.5 - Prob. 8PSA Ch. 13.5 - Prob. 9PSB Ch. 13.5 - Prob. 10PSB Ch. 13.5 - Prob. 11PSB Ch. 13.5 - Prob. 12PSB Ch. 13.5 - Prob. 13PSB Ch. 13.5 - Prob. 14PSC Ch. 13.5 - Prob. 15PSC Ch. 13.5 - Prob. 16PSC Ch. 13.5 - Prob. 17PSC Ch. 13.6 - Prob. 1PSA Ch. 13.6 - Prob. 2PSA Ch. 13.6 - Prob. 3PSA Ch. 13.6 - Prob. 4PSA Ch. 13.6 - Prob. 5PSA Ch. 13.6 - Prob. 6PSA Ch. 13.6 - Prob. 7PSA Ch. 13.6 - Prob. 8PSA Ch. 13.6 - Prob. 9PSA Ch. 13.6 - Prob. 10PSA Ch. 13.6 - Prob. 11PSB Ch. 13.6 - Prob. 12PSB Ch. 13.6 - Prob. 13PSB Ch. 13.6 - Prob. 14PSB Ch. 13.6 - Prob. 15PSB Ch. 13.6 - Prob. 16PSC Ch. 13.6 - Prob. 17PSC Ch. 13.6 - Prob. 18PSC Ch. 13.6 - Prob. 19PSC Ch. 13.6 - Prob. 20PSD Ch. 13.7 - Prob. 1PSA Ch. 13.7 - Prob. 2PSA Ch. 13.7 - Prob. 3PSA Ch. 13.7 - Prob. 4PSA Ch. 13.7 - Prob. 5PSA Ch. 13.7 - Prob. 6PSA Ch. 13.7 - Prob. 7PSA Ch. 13.7 - Prob. 8PSA Ch. 13.7 - Prob. 9PSA Ch. 13.7 - Prob. 10PSA Ch. 13.7 - Prob. 11PSA Ch. 13.7 - Prob. 12PSA Ch. 13.7 - Prob. 13PSB Ch. 13.7 - Prob. 14PSB Ch. 13.7 - Prob. 15PSB Ch. 13.7 - Prob. 16PSB Ch. 13.7 - Prob. 17PSB Ch. 13.7 - Prob. 18PSB Ch. 13.7 - Prob. 19PSB Ch. 13.7 - Prob. 20PSB Ch. 13.7 - Prob. 21PSC Ch. 13.7 - Prob. 22PSC Ch. 13.7 - Prob. 23PSC Ch. 13.7 - Prob. 24PSC Ch. 13.7 - Prob. 25PSC Ch. 13.7 - Prob. 26PSC Ch. 13.7 - Prob. 27PSD Ch. 13.7 - Prob. 28PSD Ch. 13.7 - Prob. 29PSD Ch. 13 - Prob. 1RP Ch. 13 - Prob. 2RP Ch. 13 - Prob. 3RP Ch. 13 - Prob. 4RP Ch. 13 - Prob. 5RP Ch. 13 - Prob. 6RP Ch. 13 - Prob. 7RP Ch. 13 - Prob. 8RP Ch. 13 - Prob. 9RP Ch. 13 - Prob. 10RP Ch. 13 - Prob. 11RP Ch. 13 - Prob. 12RP Ch. 13 - Prob. 13RP Ch. 13 - Prob. 14RP Ch. 13 - Prob. 15RP Ch. 13 - Prob. 16RP Ch. 13 - Prob. 17RP Ch. 13 - Prob. 18RP Ch. 13 - Prob. 19RP Ch. 13 - Prob. 20RP Ch. 13 - Prob. 21RP Ch. 13 - Prob. 22RP Ch. 13 - Prob. 23RP Ch. 13 - Prob. 24RP Ch. 13 - Prob. 25RP Ch. 13 - Prob. 26RP Ch. 13 - Prob. 27RP Ch. 13 - Prob. 28RP Ch. 13 - Prob. 29RP Ch. 13 - Prob. 30RP Ch. 13 - Prob. 31RP Ch. 13 - Prob. 32RP Ch. 13 - Prob. 33RP Ch. 13 - Prob. 34RP Ch. 13 - Prob. 35RP Ch. 13 - Prob. 36RP Ch. 13 - Prob. 37RP

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