Two chords of a circle of lengths 10 cm and 8 cm are at the

distances 8.0 cm and 3.5 cm, respectively from the centre?
ans:false how? plzz explain clearly

1 answer

Draw a diagram. The half-chords are legs of right triangles, with the radius as hypotenuse. The two triangles require that

r^2 = 4^2 + 3.5^2
r^2 = 8^2 + 5^2

Clearly the two values do not agree, so the assertion is false.