The length of SK = 10 units while the length of BK = 8.6602 units.
Step-by-step explanation:
Step 1:
In the given triangle, there are two right-angles triangles with 60° angles. The central line BK is the opposite side for both the triangles. For triangle RK the hypotenuse's length is 10 m. Assume BK = x units and SK = y units.
Step 2:
So first we calculate the length of BK (x).
As we have the values of the angle of the triangle and the hypotenuse, we can calculate the sine of the angle to determine the value of x.
[tex]sin R = \frac{oppositeside}{hypotenuse}, sin 60 = \frac{x}{10}.[/tex]
[tex]sin 60 = 0.86602, x = 0.86602 (10) = 8.6602 units.[/tex]
So x = BK = 8.6602 units.
Step 3:
So now we calculate the length of SK (y).
As we have the values of the angle of the triangle and the opposite side's length, we can calculate the sine of the angle to determine the value of y.
[tex]sin S = \frac{oppositeside}{hypotenuse}, sin 60 = \frac{86.602}{y}.[/tex]
[tex]sin 60 = 0.86602, y = \frac{8.6602}{0.86602} = 9.999units = 10 units[/tex]
So y = SK = 10 units.
