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Angle ORP = 60° .
And angle OPR = 90 ° ( Angle made by tangent with the circle )
so.. by considering POR as a triangle .. we get Angle POR as 30° ( 90+30+60 = 180 ) ( sum of angles in a triangle )
Now take sin 30 in triangle POR ..
we get .. Sin 30°. = PR / OR
which =. 1/2 = PR/ OR
which implies 2 PR = OR ( BY cross multiplying ) ----------> 1
as PR = QR ( TANGENTS DRAWN FROM SAME POINT)
PR + QR = OR ( from equation 1 )
Hope it helps ...
And angle OPR = 90 ° ( Angle made by tangent with the circle )
so.. by considering POR as a triangle .. we get Angle POR as 30° ( 90+30+60 = 180 ) ( sum of angles in a triangle )
Now take sin 30 in triangle POR ..
we get .. Sin 30°. = PR / OR
which =. 1/2 = PR/ OR
which implies 2 PR = OR ( BY cross multiplying ) ----------> 1
as PR = QR ( TANGENTS DRAWN FROM SAME POINT)
PR + QR = OR ( from equation 1 )
Hope it helps ...
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