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Mathematics 13 Online
OpenStudy (anonymous):

Given circle X with radius 5 units and chord AB with length 8 units, what is the length of segment XC, which bisects the chord?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

isolate triangle XCB |dw:1415676006545:dw|

jimthompson5910 (jim_thompson5910):

the chord AB is 8 units XC bisects this chord, so BC is half that at 4 units |dw:1415676055939:dw|

jimthompson5910 (jim_thompson5910):

XC is also a perpendicular bisector of AB, which means angle BCX is 90 degrees |dw:1415676084681:dw| triangle BCX is a right triangle

OpenStudy (anonymous):

So it's D. 3?

jimthompson5910 (jim_thompson5910):

yep 3 |dw:1415676329345:dw|

OpenStudy (anonymous):

Alright, thanks!

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