If the blue radius below is perpendicular to the chord , which is 16 units long, what is the length of the segment ?
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Length of segment AB = 8 unit
Step-by-step explanation:
AC is 16 cm Long
we need to find AB
let say AB = x
then BC = 16 - x
blue radius is perpendicular to the chord
OA² = OB² + AB²
OC² = OB² + BC²
OA = OC = Radius
=> OB² + AB² = OB² + BC²
=> x² = (16 - x)²
=> x² = 256 + x² - 32x
=> 32x = 256
=> x = 8
Length of segment AB = 8 unit
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