Respuesta :
Answer:
Perimeter ΔRON = 18.66 units
Step-by-step explanation:
Complete Question has these information given as well:
- Circle with center O
- RN = QN
- RQ = [tex]5\sqrt{3}[/tex]
- ON = 5 units
- RQ is tangent
Now, we draw an image according to the information given. THe image drawn is attached.
Looking at the figure, we can say the perimeter of triangle RON would be:
RON = OR + ON + RN
We know according to tangent theorem, QN = QR
RN is equal to that as well and RN = [tex]5\sqrt{3}[/tex]
Now,
OR and ON is the radius, which is "5"
Perimeter of RON = 5 + 5 + [tex]5\sqrt{3}[/tex] = 10 + [tex]5\sqrt{3}[/tex] = 18.66 units
Perimeter ΔRON = 18.66 units