Difference between revisions of "2019 AIME I Problems/Problem 3"
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The 2019 AIME I takes place on March 13, 2019. | The 2019 AIME I takes place on March 13, 2019. | ||
==Problem 3== | ==Problem 3== | ||
| + | In <math>\triangle PQR</math>, <math>PR=15</math>, <math>QR=20</math>, and <math>PQ=25</math>. Points <math>A</math> and <math>B</math> lie on <math>\overline{PQ}</math>, points <math>C</math> and <math>D</math> lie on <math>\overline{QR}</math>, and points <math>E</math> and <math>F</math> lie on <math>\overline{PR}</math>, with <math>PA=QB=QC=RD=RE=PF=5</math>. Find the area of hexagon <math>ABCDEF</math>. | ||
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==Solution== | ==Solution== | ||
==See Also== | ==See Also== | ||
{{AIME box|year=2019|n=I|num-b=2|num-a=4}} | {{AIME box|year=2019|n=I|num-b=2|num-a=4}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 19:29, 14 March 2019
The 2019 AIME I takes place on March 13, 2019.
Problem 3
In 
, 
, 
, and 
. Points 
and 
lie on 
, points 
and 
lie on 
, and points 
and 
lie on 
, with 
. Find the area of hexagon 
.
Solution
See Also
| 2019 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
