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From an external point P, tangents PA an...

From an external point `P`, tangents `PA` and `PB` are drawn to a circle with centre `O`. If `CD` is the tangent to the circle at a point `E` and `PA=14cm`, find the perimeter of `DeltaPCD`.

Text Solution

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`PA=PB`, `CA=CE`, `DB=DE`
[`:'` tangents from an external point are equal]
Perimeter of `DeltaPCD=PC+CD+PD`
`=PC+CE+DE+PD`
`=PC+CA+DB+PD`
`=PA+PB=2PA` [`:' PB=PA`]
`=(2xx14)cm=28cm`.
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