Question

use the figure shown to the right to find the value of x.

x≈ (do not round until the final answer. then round to the nearest tenth as needed.)

Explanation:

Step1: Apply the Pythagorean theorem

Let the length of the half - chord be \(l\). According to the Pythagorean theorem \(l=\sqrt{14^{2}-5^{2}}\).

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Step2: Find the value of \(x\)

Since the perpendicular from the center of a circle to a chord bisects the chord, \(x = 2l\).

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Answer:

\(26.2\)