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
Related questions
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

Transcribed Image Text:26
P
F1
C..
2a
C.
F2₂
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
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning

Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,

Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning