Answer:
Step-by-step explanation:
Using the distance formula or Pythagoras Theorem, we can find the distance.
Distance A'B':
We can form a triangle with legs 1 and 3, and using Pythagoras theorem, we get: 3^2 + 1^2 = A'B'^2
9+1=A'B'^2
10 = A'B'^2
A'B' = [tex]\sqrt10[/tex]
Distance BB':
We can form a triangle with legs 2 and 1, and using Pythagoras theorem, we get: 2^2 + 1^2 = BB'^2
4+1=BB'^2
5 = BB'^2
BB' = [tex]\sqrt5[/tex]
Distance CB:
We can form a triangle with legs 3 and 1, which is the same as A'B', so the distance is still:
[tex]\sqrt10[/tex]
Distance CA:
We can form a triangle with legs 2 and 2, and using Pythagoras theorem, we get: 2^2 + 2^2 = CA^2
4+4=CA^2
8 = CA^2
CA = [tex]\sqrt8[/tex]
