# geometry

If segment AB is a diameter, AB =10, and measure angle ABC =45, how far is segment BC from the center of circle O?

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1. The line from BC to the centre forms an isosceles right-angled triangle with hypotenuse of 5
if that perpendicular distance is x

x^2 + x^2 = 5^2
x^2 = 25/2
x = 5/√2 or 5√2/2

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posted by Reiny

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