Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord
? A. 10 units B. 8 units C. 6 units D. 16 units
1 answer:
For the circle centered at X, as illustrated:
Draw a diameter that runs parallel to chord AB, as depicted in the figure.
Given that the diameter and AB are parallel, the line segment XC, which intersects AB at midpoint C, will be at a right angle to AB.
Thus, triangle XCB forms a right triangle. Consequently, using the Pythagorean theorem, the length of CX is
units.
The answer is: 8 units
Draw a diameter that runs parallel to chord AB, as depicted in the figure.
Given that the diameter and AB are parallel, the line segment XC, which intersects AB at midpoint C, will be at a right angle to AB.
Thus, triangle XCB forms a right triangle. Consequently, using the Pythagorean theorem, the length of CX is
The answer is: 8 units
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step 1
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step 2
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