Difference between revisions of "2011 AMC 12A Problems/Problem 24"
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== Problem == | == Problem == | ||
| + | Consider all quadrilaterals <math>ABCD</math> such that <math>AB=14</math>, <math>BC=9</math>, <math>CD=7</math>, and <math>DA=12</math>. What is the radius of the largest possible circle that fits inside or on the boundary of such a quadrilateral? | ||
| + | |||
| + | <math> | ||
| + | \textbf{(A)}\ \sqrt{15} \qquad | ||
| + | \textbf{(B)}\ \sqrt{21} \qquad | ||
| + | \textbf{(C)}\ 2\sqrt{6} \qquad | ||
| + | \textbf{(D)}\ 5 \qquad | ||
| + | \textbf{(E)}\ 2\sqrt{7} </math> | ||
| + | |||
== Solution == | == Solution == | ||
== See also == | == See also == | ||
{{AMC12 box|year=2011|num-b=23|num-a=25|ab=A}} | {{AMC12 box|year=2011|num-b=23|num-a=25|ab=A}} | ||
Revision as of 02:37, 10 February 2011
Problem
Consider all quadrilaterals 
such that 
, 
, 
, and 
. What is the radius of the largest possible circle that fits inside or on the boundary of such a quadrilateral?
Solution
See also
| 2011 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 | |
