Difference between revisions of "2020 AIME II Problems/Problem 13"
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Convex pentagon <math>ABCDE</math> has side lengths <math>AB=5</math>, <math>BC=CD=DE=6</math>, and <math>EA=7</math>. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of <math>ABCDE</math>. | Convex pentagon <math>ABCDE</math> has side lengths <math>AB=5</math>, <math>BC=CD=DE=6</math>, and <math>EA=7</math>. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of <math>ABCDE</math>. | ||
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==Solutions== | ==Solutions== | ||
{{AIME box|year=2020|n=II|num-b=12|num-a=14}} | {{AIME box|year=2020|n=II|num-b=12|num-a=14}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 01:07, 8 June 2020
Problem
Convex pentagon 
has side lengths 
, 
, and 
. Moreover, the pentagon has an inscribed circle (a circle tangent to each side of the pentagon). Find the area of .
Solutions
| 2020 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
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