Visualisasi Teorema Brahmagupta_TPK#1

Berikut adalah representasi dari Teorema Brahmagupta yang berbunyi sebagai berikut[br][img]data:image/png;base64,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[/img]

Information: Visualisasi Teorema Brahmagupta_TPK#1