ICSE Class X Math 2014 Solved Paper

In the figure given below, diameter AB and CD of a circle meet at P . PT is a tangent to the circle at T.CD=7.8‌cm,PD=5‌cm,PD =4‌cm . Find :

Question : 36

Total: 52

the length of tangent PT.

Solution:

From eq. (1),
PT2‌=PA×PB=12.8×5
⇒PT2‌=64
⇒‌PT‌=8‌cm.
‌=‌ Length of tangent. ‌

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