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2016 AMC 10B Problems/Problem 9

Revision as of 08:24, 21 February 2016 by Mathlogin (talk | contribs) (Created page with "==Problem== All three vertices of <math>\bigtriangleup ABC</math> lie on the parabola defined by <math>y=x^2</math>, with <math>A</math> at the origin and <math>\overline{BC}...")
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Problem

All three vertices of $\bigtriangleup ABC$ lie on the parabola defined by $y=x^2$, with $A$ at the origin and $\overline{BC}$ parallel to the $x$-axis. The area of the triangle is $64$. What is the length of $BC$?

$\textbf{(A)}\ 4\qquad\textbf{(B)}\ 6\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 10\qquad\textbf{(E)}\ 16$

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