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In Figure, common tangents P Qa n dR s t...

In Figure, common tangents `P Qa n dR s` to two circle intersect at `Adot` Prove that `P Q=R Sdot`

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Tangents PQ and RS intersect at point A (Given)
`:. AP=AR` ( tangents on the circle from external point A)
And` AS=AQ` ( tangents on the circle from external point A)
`:. AP+AQ=AR+AS `(as AP=AR and AS=AQ)
`:.PQ=RS` (as` AP+AQ=PQ` and `AR+AS=RS`)
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