Question

Prove that tangents from external point are equal in length.

Answer 1

Solution :



To prove PT=QTPT=QT

Proof: Consider the triangle OPTOPT and OQTOQT.

OP=OQOP=OQ

∠OPT=∠OQT=90∘∠OPT=∠OQT=90∘

OT=OTOT=OT (common side)

Hence by RHS the triangles are equal.

Hence PT=QTPT=QT

Hence Proved.

Answer 2

To prove PT=Qt
Proof: Consider the triangle OPT and OQT
OP=OQ
∠OPT=∠OQT=90∘
ot =ot(common)
Hence by RHS the triangles are equal.
Hence PT=QT