There is a Heron-type formula that can be used to find the area of a general quadrilateral.

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There is a Heron-type formula that can be used to find the area of a general quadrilateral.image

where a, b, c, and d are the side lengths,θ is half the sum of two opposite angles, and s is half the perimeter. Show that if a triangle is considered a quadrilateral with one side equal to 0, Bretschneider’s Formula reduces to Heron’s Formula.

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