in the following figure PAB is a secant and PT is the tangent to the circle If PT=5 cm and PA=3cm then find the measurement of AB
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First draw a circle. In that a tangent PAB is drawn that is secant and PT is the tangent to the given circle. Given PT = 5 cm and PA = 3 cm, we have to find the measurement of AB
The following attachment of the figure shows the tangent drawn to the circle. From the theorem, in a circle secant is PAB and tangent is PT.
So we have
We have PT^2 = PA x PB
5^2 = 3 (3 + x)
25 = 9 + 3x
3x = 16
x = 16/3 cm
Now we have the length of AB as 16/3 cm .
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