Mathematics
In the adjoining figure, PT is a tangent to the circle. Find PT, if AP = 16 cm and AB = 12 cm.
Circles
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Answer
We know that,
If a chord and a tangent intersect externally, then the product of lengths of the segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
∴ PT2 = AP × BP
From figure,
BP = AP - AB = 16 - 12 = 4 cm.
Substituting values we get,
PT2 = 16 × 4
PT2 = 64
PT =
PT = 8 cm.
Hence, PT = 8 cm.
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