Two tangents making an angle of 120' with each other, are drawn to a circle of radius 6cm, then the length of each tangents is equal to what ?
I know that the answer is : 2√3,,, but can anyone explain me the steps .. plzzzz
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The angle APB =120° (where AP and BP are tangents)
On join the centre of circle to point P it divided as angle bisector and Thus angle OPA =60°
Now in Δ OPA
angle P=60° and OA =6cm
Using tan ratio
TanΦ=P/B
Tan60°=OA/AP
√3=6/AP
√3×AP=6
(when √3 comes in R.H.S in divide the 6)
AP=6/√3
on rationalising
AP=6×√3/3
AP=2√3cm
I hope this will help you mark me as brainliest
On join the centre of circle to point P it divided as angle bisector and Thus angle OPA =60°
Now in Δ OPA
angle P=60° and OA =6cm
Using tan ratio
TanΦ=P/B
Tan60°=OA/AP
√3=6/AP
√3×AP=6
(when √3 comes in R.H.S in divide the 6)
AP=6/√3
on rationalising
AP=6×√3/3
AP=2√3cm
I hope this will help you mark me as brainliest
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