MathDB
Sum of distances from a vertex of a square

Source: 1976 AHSME Problem 3

May 14, 2014
AsymptoteAMC

Problem Statement

The sum of the distances from one vertex of a square with sides of length two to the midpoints of each of the sides of the square is
<spanclass=′latex−bold′>(A)</span>25<spanclass=′latex−bold′>(B)</span>2+3<spanclass=′latex−bold′>(C)</span>2+23<spanclass=′latex−bold′>(D)</span>2+5<spanclass=′latex−bold′>(E)</span>2+25<span class='latex-bold'>(A) </span>2\sqrt{5}\qquad<span class='latex-bold'>(B) </span>2+\sqrt{3}\qquad<span class='latex-bold'>(C) </span>2+2\sqrt{3}\qquad<span class='latex-bold'>(D) </span>2+\sqrt{5}\qquad <span class='latex-bold'>(E) </span>2+2\sqrt{5}
Back to ProblemsView on AoPS