(b) Consider the following statement: There is a triangle that is not equilateral whose side lengths form a geometric sequence, and the measures of whose angles form an arithmetic sequence. Show that this statement is true by finding such a triangle or prove that it is false by demonstrating that there cannot be such a triangle.

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
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Needed to be solved part B correctly in 10 minutes and get the thumbs up please show neat and clean work
(a) Suppose that a > and that the parabola
with equation y = ax? +2 has vertex V. The
parabola intersects the line with equation
y = -x+ 4a at points B and C, as shown. If
the area of AVBC is 2, determine the value
В
of a.
(b) Consider the following statement:
There is a triangle that is not equilateral whose side lengths form
a geometric sequence, and the measures of whose angles form an
arithmetic sequence.
Show that this statement is true by finding such a triangle or prove that it is false
by demonstrating that there cannot be such a triangle.
Transcribed Image Text:(a) Suppose that a > and that the parabola with equation y = ax? +2 has vertex V. The parabola intersects the line with equation y = -x+ 4a at points B and C, as shown. If the area of AVBC is 2, determine the value В of a. (b) Consider the following statement: There is a triangle that is not equilateral whose side lengths form a geometric sequence, and the measures of whose angles form an arithmetic sequence. Show that this statement is true by finding such a triangle or prove that it is false by demonstrating that there cannot be such a triangle.
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