Difference between revisions of "2021 AIME I Problems/Problem 9"
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==Problem== | ==Problem== | ||
| − | + | Let <math>ABCD</math> be an isosceles trapezoid with <math>AD=BC</math> and <math>AB<CD.</math> Suppose that the distances from <math>A</math> to the lines <math>BC,CD,</math> and <math>BD</math> are <math>15,18,</math> and <math>10,</math> respectively. Let <math>K</math> be the area of <math>ABCD.</math> Find <math>\sqrt2 \cdot K.</math> | |
==Solution== | ==Solution== | ||
Revision as of 16:48, 11 March 2021
Problem
Let 
be an isosceles trapezoid with 
and 
Suppose that the distances from 
to the lines 
and 
are 
and 
respectively. Let 
be the area of 
Find 
Solution
See also
| 2021 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
