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ruhibreddy
The radius is the hypotenuse of the eight triangle. So we can use pythagorean triples to find the side.

It’s handy to remember that 5, 12, 13 is a pythagorean triple.

So, 13 is the radius.

Hope this helped!
The radius of circle O is the same as half of the hypotenuse of the right triangle.

The find the hypotenuse, simply use the following,

[tex] \sqrt{a { }^{2} + b ^{2} } [/tex]

Or the square root of one leg squared us the other leg squared.

I already know this to be a 5 - 12 - 13 right triangle and you can get 13 with the equation.

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Half of 13 is 6.5 meaning 6.5 is our radius.

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

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