I like musical dramas. don't you?
They really strike a chord.
Did you know music and maths are closely related?
Chords appear in maths too. The are used in circle theorems.
Lets see how
The rule is where the radius bisects the chord it is at right angles 90°
To find angle x we can see now that this is a straight forward angles in a triangle add up to 180°
180 - 90 - 48 = 42°
As the chord cuts the radius at 90° we can see that a right angled triangle is formed.
We can apply Pythagoras' Theorem to find side lengths.
8 cm² - 6 cm² = 28 cm²
√ 28 = 5.29 cm
A shorter side of the triangle is being found hence the subtraction in Pythagoras' Theorem.
Over to you..