Two tangent segments BC and BD are drawn to a circle with centre O such that CBD =120 Prove that OB=2BC
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Given: two tangent BC and BD
CBD=120
TO PROVE THAT :OB=2BC
PROOF
JOIN OB
THEN WE GET TWO OBC AND OBD
ODB =OCB (TANGENT DRAWN FROM AN EXTERANAL POINT TO THE RADII OF CIRCLE IS PERPENDICULAR)
BY APPLYING PY. THEROM
We get. OB²=OC²+CB²,
OB²=OD²+BD²
»OB=2BD
OR
»OB=2CB
HENCE PROVED
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