Unit 9: Right Triangles and Trigonometry
Table of Contents
- 8.1 Similarity in Right Triangles
- 7.4. Right Triangle Similarity
- 8.2 Trigonometric Ratios
- Explore Trig Ratios
- Right Triangle Trigonometry: Intro
- 8.3 Solving Right Triangles
- Solving For Sides in Right Triangles
- Right Triangle Trig: Solving for Sides (2)
- 8.4 Angles of Elevation and Depression
- Explore Angles of Elevation and Depression
- Angle of elevation and depression
- Angles of elevation and depression
- 8.5 Law of Sines and Law of Cosines
- Law of Sines Verification
- 8.6 Vectors
- Vector Addition
7.4. Right Triangle Similarity
"Start" the demonstration below. Then, follow the animations and answer the questions that follow. [br][br]You can reset the demonstration and do it several times.
Answer all questions in a Google Doc.
1-Identify the hypotenuse of right triangle ABC.[br]2-Identify the altitude to the hypotenuse of triangle ABC.[br]3-The altitude to the hypotenuse of triangle ABC divides the triangle into two smaller triangles. Identify them. [br]4. Drag point C in the original triangle. Make observations.[br]5. How are the smaller triangles related to each other? HINT: Look at the smaller triangles after "Next animation"[br]6. How are the smaller triangles related to the original triangle ABC? HINT: Look at all the triangles after the "Last Animation".
Explore Trig Ratios
Solving For Sides in Right Triangles
Explore Angles of Elevation and Depression
Law of Sines Verification
Vector Addition
[color=#980000][b]Questions: [/b][/color][br][br][color=#000000]1) Is vector addition commutative? Explain why or why not. [br][br]2) Explain, in you own words, how to add any 2 vectors [i]geometrically[/i]. [br][br]3) Is it ever possible for the resultant (sum) of two vectors to be the zero vector? [br] If so, describe the relationship that must be true between these 2 vectors. [br][br]4) Can you devise a geometric method (like the one above) to [i]subtract[/i] 2 vectors? [br] If so, how would you do this? [/color]