Two concentric circles: chord of the larger that touches the smaller

The same question, asked 3 times: 14 Jul 2023 S1*, 18 Jul 2023 S1*, 24 Sep 2024 S2. Every wording below, oldest first.

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Question 1
14 Jul 2023 S1
58 $Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.$
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Question 2
18 Jul 2023 S1
72 $Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.$
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Question 3
24 Sep 2024 S2
57 $The radii of two concentric circles are 26 cm and 10 cm. If the chord of the greater circle is a tangent to the smaller circle, then find the length of that chord.$
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Question 1