Difference between revisions of "2016 AMC 10B Problems/Problem 9"
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Revision as of 13:58, 21 February 2016
Problem
All three vertices of lie on the parabola defined by
, with
at the origin and
parallel to the
-axis. The area of the triangle is
. What is the length of
?
Solution
Let the point in the first quadrant be .
Then, the area of the triangle is
.
Solving the equation
for
, we get
, so
.
So the answer is
.
See Also
2016 AMC 10B (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 AMC 10 Problems and Solutions |
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