Respuesta :

Answer:

Option B

Step-by-step explanation:

By using geometric mean theorem in the given right angle triangle RST,

[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]

[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]

[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]

ST² = 10.2 × 14.3

ST = [tex]\sqrt{145.86}[/tex]

ST = 12.077

ST ≈ 12.1

Therefore, Option B will be the correct option.