Please tell me the answer of this question as soon as possible with explaination.
Attachments:
Answers
Answered by
0
Answer:
nahi ata jab samajh aayega tab bta dunga
Answered by
1
Answer:
Correct option is
20
3cm
Step-by-step explanation:
cm
Joint OT.
Let it meet PQ at the point R.
Then ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.
[∵TP=TQ= Tangents from T upon the circle]
∴OT⊥PQ
∴OT bisects PQ.
PR=RQ=4 cm
Now,
OR=
OP
2
−PR
2
=
5
2
−4
2
=3 cm
Now,
∠TPR+∠RPO=90
∘
(∵TPO=90
∘
)
=∠TPR+∠PTR(∵TRP=90
∘
)
∴∠RPO=∠PTR
∴ Right triangle TRP is similar to the right triangle
PRO. [By A-A Rule of similar triangles]
∴
PO
TP
=
RO
RP
⇒
5
TP
=
3
4
⇒TP=
3
20 cm.
Similar questions