Two parallel chords of given lengths in a circle of given size: distance between them

The same question, asked 2 times: CDS 1 2017*, CDS 2 2019. Every wording below, oldest first.

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Question 1
CDS 1 2017
81 $Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm in length. If both the chords are on the same side of the diameter, then the distance between these chords is$
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Question 2
CDS 2 2019
74 $If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords ?$
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Question 1