Line e represents a straight part of the shoreline at a beach. Suppose you are in the ocean at point C and you want to get to the shore as fast as possible. Assume there is no current. Segments CJ and CD represent 2 possible paths. Diego says, "No matter where we put point D, the Pythagorean Theorem tells us that segment CJ is shorter than segment CD. So, segment CJ represents the shortest path to shore."

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Line e represents a straight part of the shoreline at a beach. Suppose you are in the ocean
at point C and you want to get to the shore as fast as possible. Assume there is no current.
Segments CJ and CD represent 2 possible paths.
Diego says, "No matter where we put point D, the Pythagorean Theorem tells us that
segment CJ is shorter than segment CD. So, segment CJ represents the shortest path to
shore."
Do you agree with Diego? Explain your reasoning.
Transcribed Image Text:Line e represents a straight part of the shoreline at a beach. Suppose you are in the ocean at point C and you want to get to the shore as fast as possible. Assume there is no current. Segments CJ and CD represent 2 possible paths. Diego says, "No matter where we put point D, the Pythagorean Theorem tells us that segment CJ is shorter than segment CD. So, segment CJ represents the shortest path to shore." Do you agree with Diego? Explain your reasoning.
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