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CBSE Class 10 Answered

ab is a chord of length 16cm of a circle of radius 10 cm .the tangents at a and b intersect at point p.find the length of pa     ....Please solve it by Pythagoras theorem 
Asked by charanjotkaur34 | 13 Feb, 2018, 11:13: PM
answered-by-expert Expert Answer
 
 
begin mathsize 16px style OA equals 10 space cm
ON perpendicular AB
AN equals NB equals 16 over 2 equals 8 space cm
Pythagoras space theorem
In space increment ONA comma
ON squared plus NA squared equals OA squared
ON squared equals OA squared minus NA squared
ON squared equals 10 squared minus 8 squared
ON squared equals 36 space cm
ON equals space 6 space cm
tan space angle AON equals AN over ON equals 8 over 6 equals 4 over 3
increment OAP
tan angle AON equals PA over OA
4 over 3 equals PA over 10
rightwards double arrow PA equals 40 over 3 space cm
end style
Answered by Sneha shidid | 14 Feb, 2018, 11:23: AM
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