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A circle which radius is 3cm.we drawn on it a tangent from a distance of 5cm.find the lenth of all tangents,,,,,
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Let O be the centre of the circle with radius 3cm.
Let the external point be A.,
Let the point on the circle be B,
Therefore, the tangent is AB
Therefore, angle ABO = 90°
In Triangle ABO, using pythagoras theorem,
OB^2+AB^2=OA^2
AB^2=OA^2-OB^2
AB^2=5^2-3^2
AB^2=25-9
AB^2=16
Therefore, AB=4cm
Length of tangent =4cm
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