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d. 2Sb. 15C. 354. If tangents AB and AC, inclined to each other at an angle of 120° are drawn to a circle withcentre of radius 6 cm, then find the length of each tangent.d. 4v3 |
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Answer» Let centre of circle be O.<BAC = 120° consider ∆ABO and ∆ACO1) OA =OA --- common side2) OB = ON --- radii of same circle3) AB = AC --- tangents from same pointtherefore ∆ABO congruent to ∆ACOtherefore <ABO = <ACO = 60° as tan 60° = √3therefore in ∆ABOBO/AB = 6/AB = √3AB = 6 / √3AC = 6 / √3 |
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