Putting It All Together
You all have become experts in solving triangles. You can utilize Right Triangle Trigonometry, Law of Sines and Law of Cosines to solve a triangle. You can use the basic formula for area you learned as an Elementary student, the area formula that involves the sine function, and finally Hero's formula. Now your task is to analyze these functions and determine when it is best to use each formula. When can you use a particular formula? When is it inappropriate to use a formula? What kind of accuracy can you expect with each one? What tips or tricks would you give someone to help them navigate the web of solving triangles and finding their area?
You will complete the Final Task below by 2/7.
You will have a unit test on 2/8 - 2/12 (3 part test).
The Final Task
DUE Thursday, 2/7 at 3:10
Part 1:
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a) Create a right triangle using a Pythagorean triple. Solve the triangle using right triangle trigonometry. Find the area of the triangle.
b) Create a triangle by giving denoting ONE of the non-right angles and one side. Solve the triangle using right triangle trigonometry. Find the area of the triangle. c) Use two different measures to determine that each triangle has reasonable solutions. |
Part 2:
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Include a summary of each formula. You must include the formula, when it can or cannot be used. What is the minimum information needed to use each particular formula?
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Part 3:
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Create two different non-right triangles. The given information should only allow you to begin solving the triangle using either law of sines or law of cosines. Solve the triangle and then explain why you cannot begin to solve the triangle using the other two methods. Find the area of the two triangles using the Area Formula Using Sine and Hero's Formula. Finally use at least two measures to tell if the triangles have reasonable solutions.
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All of these parts must be included on one Google Doc. Follow the link for the Scoring Rubric for the final task.