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In the adjoining figure ,PT is tangent t...

In the adjoining figure ,PT is tangent to a circle with centre O . if OP= 25 cm and radius of circle is 7cm , then find the length of the tangent PT .

Text Solution

Verified by Experts

Here, `Delta OTP` is a right angle triangle.
Here, `OT = 7cm, OP = 25cm`.
From Pythagoras theorem,
`OP^2 = PT^2+OT^2`
`=>25^2 = PT^2+7^2`
`=>PT^2 = 625-49`
`=>PT^2 = 576`
`=> PT = 24cm`
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