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Cyclic quadrilateral: Difference between revisions

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* [[Brahmagupta's formula]]
* [[Brahmagupta's formula]]


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Revision as of 13:34, 23 October 2007

A cyclic quadrilateral is a quadrilateral that can be inscribed in a circle. They have a number of interesting properties.

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Properties

In cyclic quadrilateral $ABCD$:

  • $\angle A + \angle C = \angle B + \angle D = {180}^{o}$
  • $\angle ABD = \angle ACD$
  • $\angle BCA = \angle BDA$
  • $\angle BAC = \angle BDC$
  • $\angle CAD = \angle CBD$

Applicable Theorems/Formulae

The following theorems and formulae apply to cyclic quadrilaterals:

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