geometry

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A point P is given outside of a circle Γ. A tangent from P to Γ touches Γ at T with PT=45. A line from P cuts Γ at the 2 points A,B. If PA=25, what is the length of PB?

  • geometry -

    81

  • geometry -

    PT^2 = PA * PB

    PT = 45
    PA = 25
    PB = (45 * 45)/25
    = 81 units

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