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D is a point on the side BC of a triangl...

D is a point on the side BC of a triangle ABC such that `/_A D C=/_B A C`. Show that `C A^2=C B.C D`.

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We know that if two triangles are similar, then their corresponding sides are proportional.
In `ΔABC` and `ΔDAC`
`∠BAC = ∠ADC` (Given in the statement)
`∠ACB = ∠ACD` (Common angles) ...
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