In a circle, a chord is 5 cm away from the centre. If the radius of the circle is 13 cm, what is the length of the chord?

Let $d = 5$ cm (perpendicular distance),

$$r = 13 \text{ cm}$$

Using the chord length formula:

$$\begin{aligned} \text{Chord} &= 2\sqrt{(r^2 - d^2)} = 2\sqrt{169 - 25} \\ &= 2\sqrt{144} = 2 \times 12 = 24 \text{ cm} \end{aligned}$$Length of the chord = 24 cm