Difference between revisions of "2020 AMC 10A Problems/Problem 12"
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==Solution 2 (CHEATING)== | ==Solution 2 (CHEATING)== | ||
Draw a to-scale diagram with your graph paper and straightedge. Measure the height and approximate the area. | Draw a to-scale diagram with your graph paper and straightedge. Measure the height and approximate the area. | ||
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+ | ==Video Solution== | ||
+ | https://youtu.be/ZGwAasE32Y4 | ||
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+ | ~IceMatrix | ||
==See Also== | ==See Also== |
Revision as of 23:16, 31 January 2020
Problem
Triangle is isoceles with . Medians and are perpendicular to each other, and . What is the area of
Solution
Since quadrilateral has perpendicular diagonals, its area can be found as half of the product of the length of the diagonals. Also note that has the area of triangle by similarity, so Thus,
Solution 2 (CHEATING)
Draw a to-scale diagram with your graph paper and straightedge. Measure the height and approximate the area.
Video Solution
~IceMatrix
See Also
2020 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.