Let ABCD be a square with side 10. Let M and N be the midpoints of [AB] and [BC] respectively. Three circles are drawn: one with midpoint D and radius ∣AD∣, one with midpoint M and radius ∣AM∣, and one with midpoint N and radius ∣BN∣. The three circles intersect in the points R,S and T inside the square. Determine the area of △RST. geometrynational olympiadbelgium