Question

Two tangents AB and AC are drawn to a circle with a centre O so that angle BAC= 120° .prove that OA = 2AB.​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

OB perpendicular to AB (radius perpendicular to tangent)

Angle BAO=angleCAO (centre lies on the bisector of two tangents)

$cos60 = \frac{AB}{OA} \\ \frac{1}{2} = \frac{AB}{OA}$

OA=2AB

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