A circular table is pushed into a corner of the room, where two walls meet at a right angle. A point P on the edge of the table (as shown below) has a distance of from one wall, and a distance of from the other wall. Find the radius of the table.

hers the asymptote code

[asy]

unitsize(1 cm);

pair P = dir(130);

draw(Circle((0,0),1));

draw((-1,-1)--(-1,1)--(1,1));

dot("$P$", P, SE);

[/asy]

Guest Jul 24, 2022