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Naily [24]
3 years ago
6

In the diagram, PQ¯¯¯¯¯¯¯¯ is tangent to the circle at point Q, and secant PS¯¯¯¯¯¯¯ intersects the circle at points R and S. Th

e lines intersect outside the circle at point P.
A circle with no center shown. Points S, R, and Q lie on the circle. Secant P S and tangent P Q are described in the text. Segment R S equals 5 and segment P R equals 4.


What is the length of PQ¯¯¯¯¯¯¯¯?
Enter the correct value.

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

The tangent secant theorem says

PR × PS = PQ²

4 × (4+5) = PQ²

36 = PQ²

PQ=6

Answer: 6

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