Problem 360. Area of a triangle, Curvilinear triangles, Circles, Diameters.
Level: High School, College, SAT Prep.
In the figure below, ABC is an acute
triangle with area S. Circles of diameters AB, BC, and AC form
three curvilinear triangles of areas S1, S2,
and S3, respectively, and one internal curvilinear
triangle of area S4.