The value of x is 28.
What is intersecting chord theorem?
'The intersecting chords theorem is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.'
According to the given problem,
Given,
AB = 39
CD = 17
We know, according to intersecting chords theorem,
⇒ x = [tex]\frac{CD+AB}{2}[/tex]
⇒ x = [tex]\frac{56}{2}[/tex]
⇒ x = 28
Hence, we can conclude, the value of x is 28.
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