Question

Prove that the length of two tangents drawn from an external point to a circle are equal.
Ans it fast plźzz

Answer 1

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Answer 2

AP and BP are tangent of circle having center O

To prove : AP = BP

Construction Join OP, AO and BO

Proof : DOAP and DOBP

OA = OB (Radius of circle)

OP = OP (Common side)

OAP = OBP = 90°  (Radius – tangent angle)

OAP ≅ OBP  (RHS congruency rule)

AP = BP (CPCT)

Hence proved