Question

Find the value of x
A. √30
B. 16
C. 2√2
D. 20

Answer 1

• A. √30

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Use the intersecting chords theorem, according to which, the products of the lengths of the line segments on each chord are equal,

or

• TW × WU = CW × WV

Substitute the lengths and solve for x:

• x*2x = 6*10
• 2x² = 60
• x² = 30
• x = √30

The matching answer choice is A.