Difference between revisions of "2005 AMC 12B Problems/Problem 18"
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== 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 17:20, 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 ?
