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Theorem: The length of two tangents drawn from an external point to a circle are equal. |
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Answer» In `Delta PAD` and `Delta QAD`, seg `PA ~=`seg QA …(Radii of the same circle ) seg `AD ~=` seg AD …...(Common side ) `/_ APD = /_AQD = 90^(@)` …(Tangent theorem ) `:. Delta PAD ~=Delta QAD ` ....(Hypotenuse side theorem ) `:.` seg `DP ~=` seg DQ ....(c.s.c.t. ) |
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