Math, asked by sathyasammushankar, 6 months ago

Find the length of the tangent drawn from a
point 31cm away from the centres foto
of
Radius Som​

Answers

Answered by Anonymous
1

Answer:

Let P be the given point, O be the centre of the circle and PT be the length of tangent from P.  

Then, OP=25 cm and OT=7 cm.

Since tangent to a circle is always perpendicular to the radius through the point of contact.

∴∠OTP=90  

o

 

In right triangle OTP, we have

OP  

2

=OT  

2

+PT  

2

 

⇒25  

2

=7  

2

+PT  

2

 

⇒PT  

2

=25  

2

−7  

2

=(25−7)(25+7)=576

⇒PT=24 cm.

Hence, length of tangent from P=24 cm.

Step-by-step explanation:

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