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?

B. 3

Step-by-step explanation:

just took the test :)

 The correct option is (B) 3.

Step-by-step explanation:  We are given a circle X with radius 5 units and chord AB with length 8 units.

We are to find the length of segment XC that bisects chord.

We know that the line segment drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord.

So, in the given circle X, the segment XC is perpendicular to chord AB. Then, triangle  XCB will be a right angled triangle with hypotenuse XB.

Since XC bisects AB, so the length of BC will be

And, radius, XB = 5 units.

Using Pythagoras theorem in triangle XCB, we have

Thus, the length of the segment XC is 3 units.

Option (B) is CORRECT.

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step-by-step explanation: