3D Trigonometry Problem Solving

Trigonometry through Pythagoras' theorem and multi-step problems. Dive into examples on finding lengths of sides and angles in 3D shapes, enhancing your understanding of trigonometry in a 3D space. Visual aids included for better comprehension.

• Trigonometry
• 3D Problems
• Pythagoras Theorem
• Math Education
• Geometry

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Uploaded on Feb 22, 2025 | 0 Views

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Presentation Transcript

1. 3D Trigonometry LO: To apply knowledge of trigonometry in solving 3D problems. Starter

2. Pythagoras Recap In a right angle triangle, ?2+ ?2= ?2 ?2 Steps: ?2 1. Square the side lengths you re given. 2. Are you finding the hypotenuse or one of the shorter sides? ?2 3. For the hypotenuse, add them 3. For a shorter side, add them 4. Square root

3. Multi-Step Pythagoras Problems 192 132= 8 3 (8 3)2 52= 167 12.92 ? = 12.92

4. 3D Pythagoras Example #1 1.Find the length of BC. ??+ ?? = ?? ?? 2.Find the length of CD. ??+ ??? = ??.?? ?? 3.Find the length of BF ???+ ??? = ??.?? ??

5. 3D Pythagoras Example #2 1.Find the length of AC. ??+ ?? = ?.?? ?? 5cm 2.Find the length of AG. ??+ ?.??? = ?.?? ??

6. 3D Pythagoras Example #3 22+ 32= ?.?? 22+ 62= ?.?? 3.61cm 2cm 62+ 32= ?.?? 22+ 6.712= ? ??

7. 3D Trigonometry Example #1 1.Find the length of BF. ?? ??? ?? = ?.?? ?? 2.Find the length of BH. ???+ ?.??? = ??.?? ?? 3.Find the angle FBH. ??

8. 3D Trigonometry Example #2 1.Find angle GEH. ? = ??? ?? = ??.? ? 2.Find angle CHG. ? = ??? ?? = ??.?? ? 3.Find the length of EG. ??+ ??= ?.?? ??

9. 3D Trigonometry Example #2 1.Find the length of FH. ???+ ??? = ??.?? ?? 2.Find angle DFH. ?? ??? ? = ??.?? ??.?? (Cube)

10. Extension

11. Plenary