What is the length of chord cd in o below? a. 4.01 unitsb. 16.04 unitsc. 8.02 unitsd. 8.31 units

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Your answer is C 8.02

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The correct option is C.

Step-by-step explanation:

Given information: In circle O, AB=8.02, the distance of cord AB from the center is 8.31, the distance of cord CD from the center is 8.31.

According to the chords equidistant from the center theorem, if two cords are equidistant form the center, the length of both cords are equal.

Since the cords AB and CD are equidistant form the center O, therefore

The length of cord CD is 8.02 units.

Therefore correct option is C.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

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step-by-step explanation: