prove that length of tangent from an external point to the circle are equal
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Step-by-step explanation: hope it helps you.
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Step-by-step explanation:
GIVEN - AB & AC are tangents to a circle with center O and Angle OBA = ANGLE OCA = 90°
TO PROVE - AB = AC
PROOF -
In ∆AOB & ∆AOC,
AO = AO (COMMON)
OB = OC (RADIUS)
ANGLE OBA = ANGLE OCA (90° EACH)
Therefore , ∆AOB is congurent to ∆AOC
Then , AB = AC (CPCT)
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