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Problem #24 2016 AMC10A

Source: 2016 AMC 10A Problem# 24

February 3, 2016
AMCAMC 10AMC 10 A2016 AMC 10AAMC 12problem 24

Problem Statement

A quadrilateral is inscribed in a circle of radius 2002200\sqrt{2}. Three of the sides of this quadrilateral have length 200200. What is the length of the fourth side?
<spanclass=′latex−bold′>(A)</span>200<spanclass=′latex−bold′>(B)</span>2002<spanclass=′latex−bold′>(C)</span>2003<spanclass=′latex−bold′>(D)</span>3002<spanclass=′latex−bold′>(E)</span>500<span class='latex-bold'>(A) </span>200\qquad <span class='latex-bold'>(B) </span>200\sqrt{2}\qquad<span class='latex-bold'>(C) </span>200\sqrt{3}\qquad<span class='latex-bold'>(D) </span>300\sqrt{2}\qquad<span class='latex-bold'>(E) </span> 500
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