Difference between revisions of "2003 AMC 10A Problems/Problem 12"
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+ | https://www.youtube.com/watch?v=WdpGXsAYxTQ ~David | ||
== See Also == | == See Also == |
Latest revision as of 21:58, 19 July 2023
Problem
A point is randomly picked from inside the rectangle with vertices
,
,
, and
. What is the probability that
?
Solution
The rectangle has a width of and a height of
.
The area of this rectangle is .
The line intersects the rectangle at
and
.
The area which is the right isosceles triangle with side length
that has vertices at
,
, and
.
The area of this triangle is
Therefore, the probability that is
Video Solution by WhyMath
~savannahsolver
Video Solution
https://www.youtube.com/watch?v=WdpGXsAYxTQ ~David
See Also
2003 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.