Chords T V and S U intersect inside the circle at point R

.



R T equals 5

R V equals 8

R S equals 4



The diagram shows a circle with two intersecting chords.
Question

What is the length of segment R U

?
Answer options with 4 options
A.

2.5


C.

6.4

B.

7.0


D.

10.0

1 answer

To find the length of segment RU, we can use the property that states that when two chords intersect inside a circle, the product of the two segments of each chord is equal.

In this case, we have:

RT * TV = RU * UV
5 * 8 = 4 * UV

Simplifying this equation, we get:

40 = 4 * UV

Dividing both sides by 4, we find that UV = 10.

Therefore, the length of segment RU is 10.

Answer: D. 10.0
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