calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm
prove that the tangents to a circle at the end points of diameter are parallel
class 10th its very urgent please
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calculate the length of tangent from a point 15 cm away from the centre of a circle of radius 9 cm
prove that the tangents to a circle at the end points of diameter are parallel
class 10th its very urgent please
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Length of the tangent will be 12cm.
Radius of the circle = 9 cm (Given)
Distance to the tangent from the centre = 15 cm (Given)
Let length of the tangent be = x
(Distance from the centre)² = (radius)² + (length of the tangent)²
Therefore,
Length of tangent = (15)² - (9)²
= 225-81
= 144
= √144
= 12
Therefore, the length of the tangent is 12cm with the end points of diameter being parallel.