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20.8

Step-by-step explanation:

The chord with length x is bisected by the perpendicular segment.

Use the Pythagorean theorem to find the length of half of x.

Let's call half of x, y.

y^2 + 6^2 = 12^2

y^2 = 144 - 36

y^2 = 108

y = sqrt(108)

x = 2y = 2sqrt(108)

x = 20.8

≈20.8 units

Step-by-step explanation:

There's a triangle that can be formed with half of x, 12, and 6.

6²+b²=12²

36+b²=144

Subtract 36 from both sides

b²=108

b=

Since b is half of x, we get:

step-by-step explanation:

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