Answer: The distance between Star B and Star C can be found using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side). In this case, the lengths of the two shorter sides are the distances from Star A to Star B (50 lightyears) and from Star A to Star C (120 lightyears).
So, we have:
(Star B to Star C)^2 = (Star A to Star B)^2 + (Star A to Star C)^2
(Star B to Star C)^2 = 50^2 + 120^2
(Star B to Star C)^2 = 2500 + 14400
(Star B to Star C)^2 = 16900
Taking the square root of both sides:
Star B to Star C = √16900
Star B to Star C = 129 lightyears
So, Star B and Star C are 129 lightyears apart.
Explanation: