Derive the area formula for any triangle in terms of sine.
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This post on Math Central is helpful in developing knowledge on the area formula in terms of sine for triangles.
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Find the area of the following triangle.
Write a formula for the area of this non-right triangle.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Explain why $${\frac{1}{2}ab\mathrm{sin}(C)}$$ gives the area of a triangle with sides $$a$$ and $$b$$ and included angle $$C$$.
Precalculus and Advanced Topics > Module 4 > Topic B > Lesson 7 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.