Example 3: Let A(p', - p), B(q, q), C(r², – r) be the vertices of a triangle ABC. A parallelogram AFDE is drawn with D, E and F on the segments BC, CA and AB respectively. Show that the maximum area of the parallelogram is (1/4)(p+q)(q+r) (p – r), given p> r.
Example 3: Let A(p', - p), B(q, q), C(r², – r) be the vertices of a triangle ABC. A parallelogram AFDE is drawn with D, E and F on the segments BC, CA and AB respectively. Show that the maximum area of the parallelogram is (1/4)(p+q)(q+r) (p – r), given p> r.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 22E
Related questions
Question
![Example 3:
Let A(p,- p), B(q, q), C(r², – r) be the vertices of a triangle ABC. A parallelogram AFDE is drawn
with D, E and F on the segments BC, CA and AB respectively. Show that the maximum area of the
parallelogram is (1 / 4)(p + q)(q + r) (p – r), given p > r.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9add3e3-87fb-4089-b37d-2d996aa845bc%2Fbe5775fe-a2fa-4d05-a8c0-8e2b7ad54258%2F838q0lk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example 3:
Let A(p,- p), B(q, q), C(r², – r) be the vertices of a triangle ABC. A parallelogram AFDE is drawn
with D, E and F on the segments BC, CA and AB respectively. Show that the maximum area of the
parallelogram is (1 / 4)(p + q)(q + r) (p – r), given p > r.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Elementary Geometry for College Students](https://www.bartleby.com/isbn_cover_images/9781285195698/9781285195698_smallCoverImage.gif)
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning