# L66 New

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Category: Education

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## Presentation Transcript

### Slide 1:

Bell Ringer #85 Objective Be able to solve problems using special triangles

### Lesson 66 • Special Right Triangles:

Lesson 66 • Special Right Triangles

### Slide 4:

5.1 Special Right Triangles *You will be able to find the lengths of sides of special right triangles 45-45-90 And 30-60-90

### Slide 5:

In a 45-45-90 triangle… LEGS ARE THE SAME LENGTH We will use a reference triangle to set up a proportion then solve.

### Slide 6:

45-45-90 Right Triangle 1 1 This is our reference triangle for the 45-45-90.

### Slide 7:

45-45-90 Right Triangle x x

### Slide 8:

3 3 x 1 1 3 1 x EX: 1 Solve for x Let’s set up a proportion by using our reference triangle.

### Slide 9:

5 5 x 1 1 5 1 x EX: 2 Solve for x

### Slide 10:

x 3 1 1 x 1 3 45 EX: 3 Solve for x

30-60-90

### Slide 12:

30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. We will use a reference triangle to set up a proportion then solve.

### Slide 13:

30-60-90 Right Triangle x 2 x 30  60 

### Slide 14:

60 30 x y 8 x 1 8 2 y 8 2 1 2 30 60 Ex: 1

### Slide 15:

60 30 x 24 Solve for x 24 2 x 1 1 2 30 60 2x = 24 x = 12 Ex: 2

### Slide 16:

60 30 x 14 14 2 x 1 1 2 30 60 2x = 14 x = 7 Ex: 3 y 14 2 y 30 60

### Slide 17:

60 30 x x 1 1 2 30 60 x = 5 Ex: 4 y y 2 y = 10