Difference between revisions of "2020 CMC 12B Problems/Problem 19"
(Created page with "Let <math>ABCD</math> be a convex quadrilateral such that <math>AB=4, BC=4, CD=3, DA=7</math>. There exists a unique point <math>P</math> inside quadrilateral <math>ABCD</math...") |
|||
| Line 5: | Line 5: | ||
==See also== | ==See also== | ||
| − | {{CMC12 box|year=2020| | + | {{CMC12 box|year=2020|ab=B|num-b=18|num-a=20}} |
[[Category:Intermediate Geometry Problems]] | [[Category:Intermediate Geometry Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Latest revision as of 16:16, 7 September 2020
Let 
be a convex quadrilateral such that 
. There exists a unique point 
inside quadrilateral such that the areas of 
are all numerically equal. What is the value of 
?
Solution
suppose 
are collinear then quadrilateral becomes a triangle with sides 
See also
| 2020 CMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 18 |
Followed by Problem 20 |
| 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 CMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
