Given that the length of the string is 2a and the distance between the string's endpoints is 2c, prove that the length of the major axis ("2b") is 2 √a^2 - c^2
Given that the length of the string is 2a and the distance between the string's endpoints is 2c, prove that the length of the major axis ("2b") is 2 √a^2 - c^2
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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Question
Given that the length of the string is 2a and the distance between the string's endpoints is 2c, prove that the length of the major axis ("2b") is 2 √a^2 - c^2
Expert Solution
Step 1
Notice: Here, the length of the minor axis is 2b.
Let the midpoint of F1F2 be O.
It is given that,
F1O=F2O=c
F1P+F2P=2a
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