Question

Two tangents ab and ac are drawn to a circle with centre o such that bac=120 in not using trigonometry

Answer 1

Answer:

Draw the figure. points B and C must both be on the circle. Now connect both points B and C to the circle center O. 

Since both AB and AC are tangent to the circle then AB = AC 

Now draw the line AO 

<OAB and <OAC are equal. 

Since BAC = 120 

<OAB = 60 and <OBA = 90 deg and therefore <AOB is 30 deg. 

So sin<AOB = sin 30 = 1/2 = AB/ OA and 

OA = 2 AB

follow me plz