Chapter 7 - Right Triangles & Trigonometry
Radicals
Section 7.1 - Applying Pythagorean Theorem
- Video #1 - What is the Pythagorean Theorem and the Proof of it (5:31)
- Video #2 - Examples using the Pythagorean Theorem (13:13)
- Answers to worksheet
- Video #2 - Examples using the Pythagorean Theorem (13:13)
- Answers to worksheet
Section 7.2 - Converse of the Pythagorean Theorem
- Video #1 - Notes and idea behind the Converse of the Pythagorean Theorem (5:27)
- Video #2 - Examples of identifying a triangle as acute, obtuse, or right given the three sides. (4:54)
- Video #3 - Example that requires solving a quadratic inequality to create a specific type of triangle. (10:11)
- Answers to worksheet (#25, the answer should be NO, the answer you see is me interpreting the question as a 18 foot long pipe that is 6 inches in diameter.)
- Video #2 - Examples of identifying a triangle as acute, obtuse, or right given the three sides. (4:54)
- Video #3 - Example that requires solving a quadratic inequality to create a specific type of triangle. (10:11)
- Answers to worksheet (#25, the answer should be NO, the answer you see is me interpreting the question as a 18 foot long pipe that is 6 inches in diameter.)
Section 7.3 - Use Similar Right Triangles
This section could take 2 days to finish.
- Video #1 - Similar Right Triangles (8:05)
- Video #2 - Geometric Mean Theorem (Altitude) (8:26)
- Video #3 - Geometric Mean Theorem (Legs) (7:12)
- Answers to worksheet
- Video #1 - Similar Right Triangles (8:05)
- Video #2 - Geometric Mean Theorem (Altitude) (8:26)
- Video #3 - Geometric Mean Theorem (Legs) (7:12)
- Answers to worksheet
Section 7.4 - Special Right Triangles
- Video #1 - 45-45-90 Right Triangles (7:07)
- Video #2 - 30-60-90 Right Triangles (8:45)
- Answers to worksheet
- Video #2 - 30-60-90 Right Triangles (8:45)
- Answers to worksheet
Section 7.5 -
- Video #1 - Intro to Trigonometry and the Tangent Ratio (10:36)
- Video #2 - Examples of solving with the tangent ratio (7:21)
- Answers to worksheet
- Video #2 - Examples of solving with the tangent ratio (7:21)
- Answers to worksheet
Section 7.6 -
- Video #1 - Intro to Sine and Cosine ratios (5:06)
- Video #2 - Examples with sine and cosine (8:29)
- Answers to worksheet
- Video #2 - Examples with sine and cosine (8:29)
- Answers to worksheet
Section 7.7 -
- Video #1 - Solving a Right Triangle Using Pythagorean Th. and the trig. ratios. (5:49)
- Video #2 - Solving Right Triangles Using Inverse Trig. Functions (10:38)
- Answers to worksheet
- Video #2 - Solving Right Triangles Using Inverse Trig. Functions (10:38)
- Answers to worksheet
Law of Sines
Law of Cosines
Law of Cosines. The assignment for Law of Sines and Cosines is on one sheet, with the answers here.