Mock AIME 1 2006-2007 Problems/Problem 4: Difference between revisions
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4. <math>\triangle ABC</math> has all of it's verticies on the parabola <math>y=x^{2}</math>. The slopes of <math>AB</math> and <math>BC</math> are <math>10</math> and <math>-9</math>, respectively. If the x-coordinate of the triangle's centroid is <math>1</math>, find the area of <math>\triangle ABC</math>. | 4. <math>\triangle ABC</math> has all of it's verticies on the parabola <math>y=x^{2}</math>. The slopes of <math>AB</math> and <math>BC</math> are <math>10</math> and <math>-9</math>, respectively. If the x-coordinate of the triangle's centroid is <math>1</math>, find the area of <math>\triangle ABC</math>. | ||
[[Mock AIME 1 2006-2007]] | |||
Revision as of 14:57, 24 July 2006
4. 
has all of it's verticies on the parabola 
. The slopes of 
and 
are 
and 
, respectively. If the x-coordinate of the triangle's centroid is 
, find the area of .
