From the graph, we can first calculate the length of line segment NT by the Pythagorean theorem,
(GH / 2)² + (NT)² = r²
Substituting,
(24 cm/ 2)² + (NT)² = (13 cm)²
The value of NT from the equation is 5 cm. Since,
NS = r = NT + TS
Substituting,
13 cm = 5 cm + TS
TS = 8 cm