Difference between revisions of "2022 AMC 10B Problems/Problem 2"
Ghfhgvghj10 (talk | contribs) (→Solution) |
Ghfhgvghj10 (talk | contribs) (→Solution 2) |
||
Line 56: | Line 56: | ||
==Solution 2== | ==Solution 2== | ||
+ | Draw a line next to BD | ||
== See Also == | == See Also == |
Revision as of 01:50, 18 November 2022
- The following problem is from both the 2022 AMC 10B #2 and 2022 AMC 12B #2, so both problems redirect to this page.
Contents
Problem
In rhombus , point
lies on segment
so that
,
, and
. What is the area of
? (Note: The figure is not drawn to scale.)
Solution
(Figure redrawn to scale.)
.
is a rhombus, so
.
is a 3-4-5 right triangle, so
.
The area of the rhombus .
~richiedelgado
Solution 2
Draw a line next to BD
See Also
2022 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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 |
2022 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 1 |
Followed by Problem 3 |
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 12 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.