The radius of circle N measures 13 cm. Chord GH = 24cm. What is TS? a. 12cm. b. 8cm. c. 5cm. d. 4cm.

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