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AP, AQ and BC are tangents to the circle...

AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP (in cm) is

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In the given figure `AP=AQ`
`AB+BP=AC+CQ`
`5+x=6+4-x`
`2x=5`
`x=2.5cm`
`AP=AB+BP=5+x=5+2.5=7.5cm`
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