MathDB
2018 Individual #20

Source:

January 13, 2023
2018 Individual

Problem Statement

Point OO is selected in equilateral △ABC\triangle ABC such that the sum of the distances from OO to each side of ABCABC is 1515. Compute the area of ABCABC.
https://cdn.artofproblemsolving.com/attachments/4/0/dd573985a7c98f23fd05d11e95c4b908eaa895.png
<spanclass=′latex−bold′>(A)</span>153<spanclass=′latex−bold′>(B)</span>303<spanclass=′latex−bold′>(C)</span>503<spanclass=′latex−bold′>(D)</span>753<spanclass=′latex−bold′>(E)</span>2253<span class='latex-bold'>(A) </span> 15\sqrt3\qquad<span class='latex-bold'>(B) </span> 30\sqrt3\qquad<span class='latex-bold'>(C) </span> 50\sqrt3\qquad<span class='latex-bold'>(D) </span> 75\sqrt3\qquad<span class='latex-bold'>(E) </span> 225\sqrt3
Back to ProblemsView on AoPS