How is Pythagoras's theorem used in astronomy?

Question

John Alexander · Accepted Answer

It is most notably used in Heliocentric parallax.

Heliocentric Parallax is a tool used by astronomers to calculate the distances to nearby stars.

HIX Tutor · Answer

undefined Pythagoras's theorem helps in astronomy by finding distances. Here’s how it’s used:

1. **Understand the theorem**: It says: a² + b² = c². Here, 'c' is the longest side (hypotenuse) of a right triangle, and 'a' and 'b' are the other two sides.

2. **Identify the triangle**: Astronomers look at stars and planets. They can form triangles in space by using points like Earth, a star, and the angle to that star.

3. **Measure sides**: They measure two sides of the triangle using telescopes and math.

4. **Calculate distance**: Use Pythagoras's theorem to find the distance to the star or planet by solving for 'c'.

5. **Make charts**: With distances known, they can map space better.

This helps us learn about our universe!

Luke Allen · Answer

undefined Pythagoras's theorem is used in astronomy to calculate distances between celestial objects, determine sizes of objects based on their apparent angular sizes, and analyze triangles formed by celestial bodies and observation points.