36.(2023•黄埔区校级模拟)已知OOO是三角形ABCABCABC的外心,AB=6AB=6AB=6,AC=10AC=10AC=10,若AO→=xAB→+yAC→\overrightarrow{AO}=x\overrightarrow{AB}+y\overrightarrow{AC}AO=xAB+yAC,且2x+10y=52x+10y=52x+10y=5,则三角形ABCABCABC的面积为[ 24或]20220\sqrt{2}202___.