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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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 22E
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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.
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.
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