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Would like proof!(help please)

If ABC be a triangle with pts. E and D on AB and AC respectively and AE.AB=AD.AC Then,prove that BEDC is a cyclic quadrilateral.

Note by Bhargav Das
4 years, 3 months ago

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Draw the circumcircle of the triangle \(BEC\). Let \(X\) be the second point of intersection of \(AC\) with the circle.

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The Intersecting Chords Theorem tells you that \(AE\times AB = AX \times AC\), and hence \(X\) must be your point \(D\). Thus \(BEDC\) is cyclic.

Mark Hennings - 4 years, 3 months ago

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Thanks a lot!!!

Bhargav Das - 4 years, 3 months ago

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