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Two tangent making an angle 120°with …

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Two tangent making an angle 120°with each other at drawn to a circle of radius 6 cm . find the Length of tangent

Posted by Nirankar Singh 8 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Rahul Sharma 7 years, 11 months ago

Let P be the external points and PA and PB be the two tangents drawn to the circle with centre O.

Given : ∠APB = 120°

Also radius = OA = OB = 6 cm

We know that tangents drawn from an external point are equally inclined to the line joining that point to the centre

Now In ∆OAP

∠OAP = 90° (∵ Tangent is perpendicular to the radius at the point of contact)

Now in right ∆OAP

∠OPA = 60°

Also tangents drawn from an external point are equal in length

Hence the length of each tangent is cm.

1Thank You

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CBSE > Class 10 > Mathematics