Question

If two tangents inclined at an angle of 60 degrees are drawn to a circle of radius 5 cm, then length of each tangent (in cm) is equal to?

1) (5√3)/2
2) 10
3) 3
4) 5√3

Please include method

Answer 1

let the tangent AB and AC are two tangents drawn from external point A and a circle with centre O.
join AO.
Now in triangle ABO
tan30=OB/BA
1/√3=5/AB
AB=5√3cm
Hence length of tangents is 5√3cm

Answer 2

Step-by-step explanation:

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