https://artofproblemsolving.com/wiki/index.php?title=2019_Mock_AMC_10B_Problems/Problem_15&feed=atom&action=history 2019 Mock AMC 10B Problems/Problem 15 - Revision history 2022-05-22T11:05:27Z Revision history for this page on the wiki MediaWiki 1.31.1 https://artofproblemsolving.com/wiki/index.php?title=2019_Mock_AMC_10B_Problems/Problem_15&diff=112829&oldid=prev Awesome 360: Created page with "The area of the larger square is 144, so each side length is 12. m + n = 12. Also, Each of the smaller 4 triangles are right triangles, so m²+n²= 108. n=12-m m²+(12-m)²..." 2019-12-14T04:23:08Z <p>Created page with &quot;The area of the larger square is 144, so each side length is 12. m + n = 12. Also, Each of the smaller 4 triangles are right triangles, so m²+n²= 108. n=12-m m²+(12-m)²...&quot;</p> <p><b>New page</b></p><div>The area of the larger square is 144, so each side length is 12. m + n = 12. Also, Each of the smaller 4 triangles are right triangles, so m²+n²= 108. <br /> <br /> n=12-m<br /> m²+(12-m)²=108<br /> m²+144-24m+m²=108. <br /> <br /> Solving for m gives m= 12+sqrt(72)/2, m = 6+3sqrt2, a=6, b=3, c=2. a+b+c=11. (A)</div> Awesome 360