From the given diagram, find the length of tangent.
T
(x-6)
(x + 1)
P
(x + 2)
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Step-by-step explanation:
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Step-by-step explanation:
Angle OTP is right angle (radius perpendicular to point of contact)
So triangle OTP is a right angle triangle with OP as its hypotenuse.
In triangle OTP, TP^2 + TO^2 = OP^2 (Pythagoras theorem)
Now substitute given values and open the brackets using (a+b)^2 identity.
You'll get a quadratic equation, solve it using appropriate methods and will get the desired answer.
Hope it helps.
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