Difference between revisions of "2005 AMC 8 Problems/Problem 9"
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Revision as of 01:09, 5 July 2013
Problem
In quadrilateral , sides
and
both have length 10, sides
and
both have length 17, and the measure of angle
is
. What is the length of diagonal
?
Solution
Because ,
is an equilateral triangle with
. Angles in a triangle add up to
, and since
, the other two angles are also
, and
is an equilateral triangle. Therefore
.
See Also
2005 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
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 AJHSME/AMC 8 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.