10th Edition

ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 8.2, Problem 60AYU

Mollweide’s Formula For any triangle, Mollweide’s Formula (named after Karl Mollweide, 1774-1825) states that

$\frac{a + b}{c} = \frac{\cos [\frac{1}{2} (A - B)]}{\sin (\frac{1}{2} C)}$

Derive it.

[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]

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Chapter 8.2, Problem 59AYU

Chapter 8.2, Problem 61AYU

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Solution Summary: The author explains how the Mollweide's formula is given by a + b c = cos, which involves all six parts of the triangle.

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