Whats the working to calculate the answer for the length of the line bc

Step-by-step explanation:

The triangle is a right triangle. We can use Pythagorean theorem to solve for hypotenuse.

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√(169) = √(c²)

c = 13

The hypotenuse is 13.

sin θ  = opp/hyp

sin x = 5/13

cos θ = adj/hyp

cos y = 5/13

sin x = cos y

5/13 = 5/13

The relationship is that the ratios of sin x and cos y are equal.