In the figure,PO=25cm,OT=7cm. Find the length of the tangent PT of acircle.
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Answer:
Since tangent to a circle is always perpendicular to the radius through the point of contact.
. /_OTP = 90
In right triangle OTP, we have
OP? = OT2 + PT2
= 252 = 72 + PT2
PT2 = 252-72
= (25 - 7) (25 + 7)
- = 576
PT = 24 cm
Hence, length of tangent from P = 24 cm
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