MathDB

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

\triangle RST

Problem Statement