Difference between revisions of "2021 Fall AMC 12A Problems/Problem 24"
MRENTHUSIASM (talk | contribs) (Created page with "==Problem== Convex quadrilateral <math>ABCD</math> has <math>AB = 18, \angle{A} = 60 \textdegree</math>, and <math>\overline{AB} \parallel \overline{CD}</math>. In some order,...") |
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==Solution== | ==Solution== | ||
| + | Let <math>E</math> be a point on <math>\overline{AB}</math> such that <math>BCDE</math> is a parallelogram. | ||
| + | |||
<b>WILL COMPLETE VERY SOON. A MILLION THANKS FOR NOT EDITING THIS PAGE.</b> | <b>WILL COMPLETE VERY SOON. A MILLION THANKS FOR NOT EDITING THIS PAGE.</b> | ||
Revision as of 22:26, 23 November 2021
Problem
Convex quadrilateral 
has 
, and 
. In some order, the lengths of the four sides form an arithmetic progression, and side 
is a side of maximum length. The length of another side is 
. What is the sum of all possible values of ?
Solution
Let 
be a point on such that 
is a parallelogram.
WILL COMPLETE VERY SOON. A MILLION THANKS FOR NOT EDITING THIS PAGE.
~MRENTHUSIASM
See Also
| 2021 Fall AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 23 |
Followed by Problem 25 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
