The chords intersect at point U. What is the value of y?

Solution:

Given, the chords intersect at point U.

We have to find the value of y.

The intersecting chords theorem states that the products of the lengths of the line segment on each chords are equal.

So, RU × UT = QU × US

From the figure,

RU = 12 cm

UT = 4 cm

QU = 8 cm

US = y cm

Substituting the values,

12 × 4 = 8 × y

48 = 8y

y = 48/8

y = 6 cm

Therefore, the value of y is 6 cm.

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The chords intersect at point U. What is the value of y?

Summary:

The chords intersect at point U. The value of y is 6 cm.