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The vertex of the right isosceles triangle is the center of the square. What is the area of the overlapping region? 

[asy]
draw((-1,-1)--(1,-1)--(1,1)--(-1,1)--cycle);
draw(sqrt(3)*dir(30)--sqrt(3)*dir(-60)--(0,0)--cycle);
draw(.25*dir(30)--.25*(dir(30)+dir(-60))--.25*dir(-60));
label("10",(-1,0),W);

dot((0,0));
[/asy]

 

 

 

(It is Asymptote code, but I don't know how to make it show up as the image)

 Oct 14, 2020

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