Trigonometric Parallax Need telescopes with high resolution, and must observe over several years. Hipparchos satellite measured distances to tens of thousands of stars within 1,500 light-years of the Sun.
Use knowledge of physical and/or empirical properties of an object to determine its Luminosity, which yields distance via the Inverse Square Law of Light. Considered to be relative until tied to an absolute calibration.
There is a kind of giant star whose surface pulsates in and out with a regular period. That period of pulsation is related to the Luminosity of the star. LMC contains hundreds of known Cepheids all at the same distance. Which allows for robust determination of the Period Luminosity Relationship.
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