Difference between revisions of "2021 AMC 12A Problems/Problem 17"
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Revision as of 23:38, 11 February 2021
Problem
Trapezoid 
has 
, and 
. Let 
be the intersection of the diagonals 
and 
, and let 
be the midpoint of . Given that 
, the length of 
can be written in the form 
, where 
and 
are positive integers and is not divisible by the quare of any prime. What is 
?
Video Solution (Using Similar Triangles, Pythagorean Theorem)
~ pi_is_3.14
See also
| 2021 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 16 |
Followed by Problem 18 |
| 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 | |
| 2021 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 16 |
Followed by Problem 18 | |
| 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 10 Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
