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AMC 10 Mock Exam Discussion For 9/23: Question 24

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AMC 10 Mock Exam Discussion For 9/23: Question 24
by John Lensmire - Saturday, September 23, 2023, 1:03 PM

AMC 10 Mock Exam Question 24

A quadrilateral is inscribed in a circle of radius $200\sqrt{2}$. Three of the sides of this quadrilateral have length $200$. What is the length of the fourth side?

$\displaystyle \textbf{(A) } 200\qquad \textbf{(B) } 200\sqrt{2}\qquad\textbf{(C) } 200\sqrt{3}\qquad \textbf{(D) } 300\sqrt{2}\qquad\textbf{(E) } 500$

Submit your answer and solution and explanation below! Solutions will be accepted for 48 hours until 9/25 at 2pm Pacific Time. (There's still time for yesterday's problem too: click here.)

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Note: The question above is a past AMC problem. Solutions submitted must be written by students. Copied solutions will be disqualified.