Verify algebraically and find missing measures using the Law of Cosines.
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Anchor Problem #1 will require the teacher to do a significant amount of modeling to define and algebraically verify the Law of Cosines. Reference EngageNY, Geometry, Module 2, Lesson 32: Teacher Version for more guidance on this.
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The Law of Cosines states that:
Given $${\triangle ABC}$$,
What measurements of a triangle make the most sense to use the Law of Cosines?
For each of the triangles below, would you use the Law of Sines, Law of Cosines, or Pythagorean theorem to find the value of $$x$$? Explain your reasoning
Geometry > Module 2 > Topic E > Lesson 33 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 Fishtank Learning, Inc.?
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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Given $${\triangle DEF}$$, use the Law of Cosines to find the side length marked $$d$$ to the nearest tenth.
Geometry > Module 2 > Topic E > Lesson 33 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 Fishtank Learning, Inc.