Question
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
.
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
Answers
GPT 3.5
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
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