Presentation is loading. Please wait.

Presentation is loading. Please wait.

Unit 2 - Right Triangles and Trigonometry Chapter 8.

Similar presentations


Presentation on theme: "Unit 2 - Right Triangles and Trigonometry Chapter 8."— Presentation transcript:

1 Unit 2 - Right Triangles and Trigonometry Chapter 8

2 Triangle Inequality Theorem Need to know if a set of numbers can actually form a triangle before you classify it. Triangle Inequality Theorem: The sum of any two sides must be larger than the third. ◦ Example: 5, 6, 7  Since 5+6 > 76+7 > > 6 it is a triangle ◦ Example: 1, 2, 3  Since 1+2 = 32+3 > 13+1 > 2 it is not a triangle!

3 Examples - Converse Can this form a triangle? Prove it: Show the work! Can this form a triangle? Prove it: Show the Work!

4 Pythagorean Theorem and Its Converse Converse of the Pythagorean Theorem c 2 < a 2 + b 2 then Acute c 2 = a 2 + b 2 then Right c 2 > a 2 + b 2 then Obtuse

5 Examples – What type of triangle am I?

6 Pythagorean Triple They can also be multiples of the common triples such as:  6, 8, 10  9, 12, 15  15, 20, 25  14, 28, 50

7 SPECIAL RIGHT TRIANGLES Section 8.2

8 Special Right Triangles 45° 90° xx

9 Examples – Solve for the Missing Sides Solve or x and y Solve for e and f

10 Special Right Triangles 30°60°90° x2x

11 Examples – Solve for the Missing Sides Solve for x and y

12 RIGHT TRIANGLE TRIGONOMETRY Section 8.3

13 Trigonometric Ratios Sine = Opposite Hypotenuse Cosine = Adjacent Hypotenuse Tangent = Opposite Adjacent

14 SOHCAHTOA REMEMBER THIS!!!! WRITE THIS ON THE TOP OF YOUR PAPER ON ALL TESTS AND HOMEWORK!

15 Set up the problem Sin Cos Tan Sin Cos Tan

16 Set up the problem Sin Cos Tan

17 Trigonometric Ratios:

18 Examples Solve for the missing variable

19 Examples

20 Examples Find m< A and m< B

21 Examples Solve for the missing variables

22 ANGLE OF ELEVATION AND ANGLE OF DEPRESSION Section 8.4

23 Elevation verse Depression – Point of View Angle of Elevation Angle of Depression

24 Examples – Point of View Elevation Depression

25 Examples – Point of View Find the Angle Elevation Find the Height of the boat from the sea floor.


Download ppt "Unit 2 - Right Triangles and Trigonometry Chapter 8."

Similar presentations


Ads by Google