Answer: 21.44 cm
Step-by-step explanation:
Given
Radius r=15 cm
distance of chord from the center is 10 cm
From the figure, the length of the chord is AC
Applying Pythagoras
[tex]\Rightarrow AO^2=OB^2+AB^2\\\Rightarrow AB^2=15^2-10^2\\\Rightarrow AB^2=225-100=115\\\Rightarrow AB=\sqrt{115}=10.72\ cm[/tex]
The length of the chord is [tex]AC=2AB=21.44\ cm[/tex]
