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
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