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Mathematics 13 Online
OpenStudy (jessicawade):

inscribed angles help?

OpenStudy (jessicawade):

AB is tangent to O. If AO=12 and BC= 25 what is AB? 35 37 50 47

OpenStudy (nikato):

|dw:1399331644118:dw| so this is whats given. can you find CO?

OpenStudy (jessicawade):

no im confused lol

OpenStudy (nikato):

so what is OC?

OpenStudy (nikato):

its the radius of the circle, right? and AO is also a radius. and all radius of the same circle have equal lengths. So what is the length of OC?

hero (hero):

@jessicawade? What are you confused about. @nikato just demonstrated that the triangle is a right triangle. Therefore, apply Pythagorean's Theorem.

OpenStudy (jessicawade):

12

OpenStudy (jessicawade):

CO is 12 because AO is 12

OpenStudy (nikato):

Yes. So BO=25+12=37 Now to find AB, use the pythagoereom theorem. Let AB=x So x^2 +12^2 =37^2 And then solve for x

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