MathDB
Triangles And Parabolas

Source: Problem #9 2016 AMC 10B and 12A #6

February 21, 2016
AMC10conicsparabolaAMCAMC 10AMC 10 B

Problem Statement

All three vertices of △ABC\bigtriangleup ABC lie on the parabola defined by y=x2y=x^2, with AA at the origin and BC‾\overline{BC} parallel to the xx-axis. The area of the triangle is 6464. What is the length of BCBC?
<spanclass=′latex−bold′>(A)</span> 4<spanclass=′latex−bold′>(B)</span> 6<spanclass=′latex−bold′>(C)</span> 8<spanclass=′latex−bold′>(D)</span> 10<spanclass=′latex−bold′>(E)</span> 16<span class='latex-bold'>(A)</span>\ 4\qquad<span class='latex-bold'>(B)</span>\ 6\qquad<span class='latex-bold'>(C)</span>\ 8\qquad<span class='latex-bold'>(D)</span>\ 10\qquad<span class='latex-bold'>(E)</span>\ 16
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