Difference between revisions of "2021 JMPSC Sprint Problems/Problem 16"

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<math>ABCD</math> is a concave quadrilateral with <math>AB = 12</math>, <math>BC = 16</math>, <math>AD = CD = 26</math>, and <math>\angle ABC=90^\circ</math>. Find the area of <math>ABCD</math>.
 
<math>ABCD</math> is a concave quadrilateral with <math>AB = 12</math>, <math>BC = 16</math>, <math>AD = CD = 26</math>, and <math>\angle ABC=90^\circ</math>. Find the area of <math>ABCD</math>.
 
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[[File:Sprint16.jpg|400px]]
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==Solution==
 
==Solution==

Revision as of 21:46, 10 July 2021

Problem

$ABCD$ is a concave quadrilateral with $AB = 12$, $BC = 16$, $AD = CD = 26$, and $\angle ABC=90^\circ$. Find the area of $ABCD$.

Sprint16.jpg

Solution