yamiletmorales
yamiletmorales
28-05-2022
Mathematics
contestada
Find the length of ST. ST=?
Respuesta :
Hrishii
Hrishii
28-05-2022
Answer:
ST = 7
Step-by-step explanation:
By the theorem of intersecting secants outside of a circle, we have:
[tex]RS(RS +ST) = RQ (RQ+QP)[/tex]
[tex]\implies 11(11 +ST) = 9 (9+13)[/tex]
[tex]\implies 11(11 +ST) = 9 *22[/tex]
[tex]\implies 11 +ST =\frac{ 9 *22}{11}[/tex]
[tex]\implies 11 +ST =18[/tex]
[tex]\implies ST =18-11[/tex]
[tex]\implies\huge\orange{\boxed{ ST =7}}[/tex]
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