two tangents making an angle of 120 with each other are drawn to a circle of radius 6 CM then the length of a tangent is equals to
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Answer:
another tangent
Step-by-step explanation:
Like in the figure PQ and PR as both tangents intersecting at point P makes up 120 degrees.. PQ=PR
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HEYA IR ANSWER IS HERE....
Step-by-step explanation:
Let the center of circle be O.
Let the tangents be PA and PB from point P onto the circle. OA = OB = radius = 6 cm. Then in the triangles OAP and OBP :
∠OAP = ∠OBP = 90°
∠OPA = ∠OPB = 120°/2 = 60°
∠POA = ∠POB = 30°
Tan 60 = OA/PA
PA = OA cot 60° = 6 /√3 = 2 √3 cm
The length of tangent = 2√3 cm
We can put the value of √3 i.e 1.732.....
HOPE IT HELPS YOU....
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