What are the properties of cyclic quadrilateral
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ABCD is a cyclic quadrilateral, then the vertices, A, B, C and D are on the circumference of a circle. Let a, b,c, and d be the sides and e and f be the diagonals.
1. sum of opposite angles is 180 deg.
2. a* c + b *d = e * f
This is Ptolemy's theorem.
3. The area of the quadrilateral is given by BrahmaGupta's theorem.
s = semiperimeter.
4. Angle ABD = angle ACD
5. Angle BCA = angle BDA
6. angle CAD = angle CBD
7, angle BAC = angle BDC
1. sum of opposite angles is 180 deg.
2. a* c + b *d = e * f
This is Ptolemy's theorem.
3. The area of the quadrilateral is given by BrahmaGupta's theorem.
s = semiperimeter.
4. Angle ABD = angle ACD
5. Angle BCA = angle BDA
6. angle CAD = angle CBD
7, angle BAC = angle BDC
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