calculate the length of a tangent from a point 13 cm away from the centre of a radius 5 cm.
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calculate the length of a tangent from a point 13 cm away from the centre of a radius 5 cm.
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Answer:
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Answer:
Since tangent is perpendicular to the circle [by tangent theorem,]
By Pythagoras theorem
let the distance 13cm be x radius be r and tangent length be t
(x)²=(t)²+(r)²
(13)²=(t)²+(5)²
169-25=(t)²
144=t²
Taking square roots,
t=12cm
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