Upon what data do measurements of sizes of eclipsing binaries depend?

A.Their orbital periods and separations
B.Their masses and luminosities C.Their Doppler shifts and durations of stages of their eclipses
D.Their temperatures and speeds E.Their temperatures and masses

C. You need the duration of the eclipse period (time) and a velocity to determine a size (star diameter)

To measure the sizes of eclipsing binaries, you typically need data related to their orbital periods and separations, which is Option A. By studying the patterns of brightness as one star passes in front of the other during an eclipse, astronomers can determine the orbital period and separation of the binary system. These parameters provide crucial information for calculating the sizes of the stars involved in the eclipsing binary system.