Difference between revisions of "2005 AMC 12B Problems/Problem 18"
m (2005 AMC 12B Problem 18 moved to 2005 AMC 12B Problems/Problem 18) |
Fuzzy growl (talk | contribs) (→Problem) |
||
Line 1: | Line 1: | ||
== Problem == | == Problem == | ||
+ | Let <math>A(2,2)</math> and <math>B(7,7)</math> be points in the plane. Define <math>R</math> as the region in the first quadrant consisting of those points <math>C</math> such that <math>\triangle ABC</math> is an acute triangle. What is the closest integer to the area of the region <math>R</math>? | ||
+ | |||
+ | <math> | ||
+ | \mathrm{(A)}\ 25 \qquad | ||
+ | \mathrm{(B)}\ 39 \qquad | ||
+ | \mathrm{(C)}\ 51 \qquad | ||
+ | \mathrm{(D)}\ 60 \qquad | ||
+ | \mathrm{(E)}\ 80 | ||
+ | </math> | ||
== Solution == | == Solution == |
Revision as of 18:20, 21 February 2010
Problem
Let and
be points in the plane. Define
as the region in the first quadrant consisting of those points
such that
is an acute triangle. What is the closest integer to the area of the region
?