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State and prove ptolemy's theorem. |
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Answer» Ptolemy's theorem states the relationship between the diagonals and the sides of a cyclic quadrilateral. It is a powerful tool to apply to problems about inscribed quadrilaterals. Ptolemy's Theorem states thatIf a quadrilateral ABCD is inscribable in a circle, then the product of the measures of its diagonals is equal to the sum of the products of the measures of the pairs of the opposite sides:AC. BD = AB. CD + AD. BC |
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