Answer:

x = 13

y = 12

Step-by-step explanation:

y = 12 (tangents drawn from same point are

equal in length)

Now

5^2 + y^2 = x^2 (pythagoras theorem)

25 + 12^2 = x^2

25 + 144 = x^2

x^2 = 169

x = 13 (13^2 = 169)

Step-by-step explanation:

O is the centre of the circle

PT and PS are the tangents to the circle from point P

OS and OT are the radii of the circle

Hence, ∠OSP=∠OTP=90

o

OS = OT = 5 cm and

PT = PS = 12 cm

Now,

In right angled triangle OTP,

By Pythagoras Theorem,

OP² =OT² +PT²

=(5)² +(12)²

=25+144

=169

We get,

OP² =(13)²

Therefore, OP = 13 cm

i.e, x = 13 cm

Since PS = PT = 12 cm

Therefore,

y = 12 cm

here your answer