`A B` and `C D` are two parallel chords of a circle such that `A B=10c m` and `C D=24c mdot` If the chords are on the opposite sides of the centre and the distance between them is `17c m ,` find the radius of the circle.

Explanation

To solve the problem step by step, we will use the properties of circles and the Pythagorean theorem.

### Step 1: Understand the Problem
We have two parallel chords \( AB \) and \( CD \) in a circle. The lengths of the chords are given as \( AB = 10 \, \text{cm} \) and \( CD = 24 \, \text{cm} \). The distance between the two chords is \( 17 \, \text{cm} \).

### Step 2: Define Variables
Let:
- \( O \) be the center of the circle.
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