Difference between revisions of "2017 AIME I Problems"
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==Problem 1== | ==Problem 1== | ||
[[2017 AIME I Problems/Problem 1 | Solution]] | [[2017 AIME I Problems/Problem 1 | Solution]] | ||
+ | Fifteen distinct points are designated on <math>\triangle ABC</math>: the 3 vertices <math>A</math>, <math>B</math>, and <math>C</math>; <math>3</math> other points on side <math>\overline{AB}</math>; <math>4</math> other points on side <math>\overline{BC}</math>; and <math>5</math> other points on side <math>\overline{CA}</math>. Find the number of triangles with positive area whose vertices are among these <math>15</math> points. | ||
==Problem 2== | ==Problem 2== |
Revision as of 14:28, 8 March 2017
2017 AIME I (Answer Key) | AoPS Contest Collections • PDF | ||
Instructions
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Contents
Problem 1
Solution Fifteen distinct points are designated on : the 3 vertices , , and ; other points on side ; other points on side ; and other points on side . Find the number of triangles with positive area whose vertices are among these points.
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
2017 AIME I (Problems • Answer Key • Resources) | ||
Preceded by 2016 AIME II |
Followed by 2017 AIME II | |
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All AIME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.