The chords intersect at point U.

A circle is shown. Chords R T and Q S intersect at point U. The length of R U is 12 centimeters, the length of U T is 4 centimeters, the length of U S is y centimeters, and the length of Q U is 8 centimeters.

What is the value of y?

2
4
6
8

The intersecting chords theorem states that, the product of one whole chords segment and its external segment is equal to the product of the other whole chords segment and its external segment when two chords cross at an exterior point.

According to the intersecting chords theorem,

US x QU = RU x UT

Substitute the values in above formula,

y x 8 = 12 x 4

y = 48/8

y = 6 centimeters,

Hence, the value of y is 6 centimeters.

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The chords intersect at point U. A circle is shown. Chords R T and Q S intersect at point U. The length of R U is 12 centimeters, the length of U T is 4 centimeters, the length of U S is y centimeters, and the length of Q U is 8 centimeters. What is the value of y? 2 4 6 8

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What is the intersecting chords theorem?

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The chords intersect at point U.

A circle is shown. Chords R T and Q S intersect at point U. The length of R U is 12 centimeters, the length of U T is 4 centimeters, the length of U S is y centimeters, and the length of Q U is 8 centimeters.

What is the value of y?

2
4
6
8