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.
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.
Transcribed Image Text:
K = √(sa)(sb)(sc)(s – d) – abcd cos²0 -
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To show that Bretschneiders formula reduces to Herons formula when one side of the quadrilateral is equal to 0 we need to consider the conditions and ...View the full answer
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Related Book For
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry
ISBN: 9780137945139
5th Edition
Authors: Michael Sullivan
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