In the given figure, PA and PB are tangent to a circle such that PA = 8 cm and angle APB= 60° the length of the chord AB is
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You need to know the property of tangents drawn from external point to answer this question
Step-by-step explanation:
Property : The Tangents drawn from a external points to the circle are equal. i:e the length of the tangents is the same.
Now to solve this question :-
We know that, angle between the tangents is 60 deg. and because both the tangents have the same length it forms an isosceles triangle PAB. both angles PBA and PAB have the same measure.
as one angle of triangle is 60 deg. other two are also 60 deg.
(180-60=2x, x = 60)
and therefore we can conclude it is an equilateral triangle, thus all sides are equal and chord also is of 8 cm.
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