Explanation

Given:

Radius (r) = 13 cm

Distance from center to chord (d) = 5 cm

Let's draw a perpendicular from the center to the chord. This will bisect the chord.

Using the Pythagorean theorem:

r² = d² + (half chord)²

13² = 5² + (half chord)²

169 = 25 + (half chord)²

(half chord)² = 169 - 25

= 144

half chord = √144

= 12 cm

Length of chord = 2 × half chord

= 2 × 12

= 24 cm