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

Explanation

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`