Parking Lot HW? Joke of the Day: What do you call a leg that is perpendicular to a foot? Goals:

Transcription

1 Parking Lot Joke of the Day: HW? What do you call a leg that is perpendicular to a foot? a right ankle Goals: Agenda 1 19 hw? Course Recommendations Simplify Radicals skill practice L8 2 Special Right Triangles HW: L8 2 math xl Quiz: similarity & L8 1 to 8 3 next Wednesday I can use patterns in special right triangles to solve problems I can rationalize a radical expression 1

2 Triangle Inequality Theorem Can the side lengths given create a triangle? If yes, classify the triangle as right, obtuse, or acute. 2

3 HW Questions from Similarity Review 3

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6 How do you find the geometric mean of 2 numbers? 6

7 How many triangles do you see? 7

8 Short leg Short leg = long leg long leg How many triangles? Are they similar? 8

9 Think similar polygons What ratios can you write? 9

10 think corresponding sides 10

11 mirror 11

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13 Course Recommendations 13

14 Short Cuts using Special Right Triangles 14

15 can't leave radical in denominator 15

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20 Special Right Triangle investigation Name: 5. Without measuring, how long is the short leg of your triangle? 6. Calculate the length of the long leg of your special right triangle. Leave your answer in simplified radical form and record it in the table below. 7. Complete your table by sharing with your group. What patterns do you notice? 8. Find the missing sides of the following triangles o 30 o 3 30 o 7 20

21 12. How can you determine the length of the short leg if you know the long leg? 13. Find the value of each variable in simplified radical form. 14. An equilateral triangle has a side length of 10 inches. What is the area? 21

22 Processing Time solve for the variable: 60 o 2 22

23 14. Measure the side of your square with the paper ruler. 15. Cut the square in half along one diagonal. This makes a special right triangle. Based on the angles you just formed, it is called a triangle. 16. Use the pythagorean theorem to find the length of the hypotenuse of your right triangle in simplified radical form. small triangle medium triangle large triangle leg 1 leg 2 hypotenuse 17. Complete your table by sharing with your group. What patterns do you notice? 18. Since all 3 triangles are similar ( theorem) confirm the following ratios are the same for each triangle: leg hypotenuse leg 19. If you know the leg of a triangle, how can you determine the hypotenuse? 20. If you know the hypotenuse of a triangle, how can you find a leg? 21. complete the table below 23

24 22. Find the value of x. 23. A baseball diamond is actually a square. In baseball, the distance from home to first is 90 ft. In softball, it is 60ft. How much further does a catcher have to throw to second base in a baseball field? Find the values of the variables in simplest radical form. 24

25 using similarity: the basic the basic

26 some honors questions: What's the area of a square inscribed in a circle of radius 5"? What's the area of a regular hexagon inscribed in a circle of radius 20cm? What's the area of this trapezoid? 6 60 o 10 26

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