Unit 8 homework 2 special right triangles answer key

Presentation on theme: "Chapter 8: Right Triangles & Trigonometry 8.2 Special Right Triangles."— Presentation transcript:

1 Chapter 8: Right Triangles & Trigonometry 8.2 Special Right Triangles

2 Isosceles Right Triangles What are the angle measures of an isosceles right triangle?

3 Theorem 8-5 45-45-90 Triangle Theorem –In a 45-45-90 triangle, both legs are congruent and the length of the hypotenuse is √2 times the length of a leg

4 Example 1 Find the value of h:

5 Example 1 Find the value of x:

6 Example 1a Find the length of the hypotenuse of a 45- 45-90 triangle with legs of length 5√3.

7 Example 2 What is the value of x?

8 Example 3 A high school softball diamond is a square. The distance from base to base is 60 feet. To the nearest foot, how far does a catcher throw the ball from home plate to second base?

9 Example 3a A square garden has sides 100 ft long. You want to build a brick path along a diagonal of the square. How long will the path be?

10 Theorem 8-6 30-60-90 Triangle Theorem –In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the length of the shorter leg.

11 Example 4 Find the value of each variable:

12 Example 4a Find the value of each variable:

13 Homework p. 428 1-6, 9-14, 17-22

UNIT 8:Right Triangle TrigonometryGeometry 2018-2019Assignments for GeometryUnit 8 Right Triangles and TrigonometryDayDateAssignment(Due the next class meeting)ThursdayFriday1/31/19 (A)2/01/19 (B)Unit 7 TestHW: Radicals Review WorksheetMondayTuesday2/04/19 (A)2/05/19 (B)Notes: 8.1Special Right TrianglesHW: 8.1 WorksheetWednesdayThursday2/06/19 (A)2/07/19 (B)Notes: 8.2 The Sine, Cosine, and Tangent RatiosHW: 8.2 WorksheetFridayMonday2/08/19 (A)2/11/19 (B)Notes: 8.3 The Inverse Sine, Cosine, and TangentRatiosHW: 8.3 WorksheetTuesdayWednesday2/12/19 (A)2/13/19 (B)Notes: 8.4 Solving Right TrianglesHW: 8.4 WorksheetThursdayFriday2/14/19 (A)2/15/19 (B)Unit 8 Practice TestHW: Unit 8 Practice TestSTUDY!!!TuesdayWednesday2/19/19 (A)2/20/19 (B)Unit 8 Test9.0 Circle VocabularyHW:Plate ActivityNOTE:You should be prepared for daily concept checks.HW reminders:You will receive a 2% bonus grade for completing all of your homework.If you cannot solve a problem,get helpbeforethe assignment is due.Help is available before school, during lunch, or during IC.For extra practice, visit, Mathguy.usorYoutubeNote: Round all answers in this unit to one decimal place, unless otherwise specified.18.1 Special Right TrianglesEssential Question:What can you say about the side lengths associated with special right triangles?

please help me with my right triangles & trigonometry homework? Can you explain to me what i have to do in order for me to turn it in tomorrow?

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15. 16. 14V2 X 45 16V/3 30 45 30 2 X= X= Z V= V = Z = 17. 2 = 18. 45 30 50 45 39 X = 20 V= y= Z = Z = 19. 20. 45 30' 60 V x 10V6 6V/3 X = X = V= Z = Z = 21. Find the perimeter of the triangle: 22. Find the perimeter of the square: 4V/15 60 160 23. Steel loading ramps are used to load a 24. The infield of a baseball field is a square lawn mower onto a truckbed 37.5 inches with sides measuring 90 feet. A ball is above ground. If the ramps make a 30 thrown from third to first base is caught in angle with the ground, find the length of 1.2 seconds. Find the speed of the ball in the ramps in feet. feet per second. Round to the nearest tenth.

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Name: Unit 8: Right Triangles & Trigonometry Date: Per: Homework 2: Special Right Triangles **This is a 2-page document! ** Directions: Find the value of each variable. 1. 2 . 3 30 45 13 15 60 X= X = X= V= y= V= 4 5. 6. X 30 45 X 34 |25V3 10 V2 60 V X = X= X= y= y= 7 V= 8. 9 45" 2V/14 X 22V3 30 60' V 24 X= X = X= y = V = 10. V = 11. V10 12. 30 45 V 16 X V 1/21 60 X= X X = X = V = V = 13. V = 14. 45 30 J 27 17 V= V= Z = Z = @ Gina Wilson (All Things Algebra , LLC), 2014-2018

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