2005 AMC 8 Problems/Problem 9
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 | |
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All AJHSME/AMC 8 Problems and Solutions |