radicals and triangle inception. 8.1 expressions with radicals essential question: how do i deal...

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RIGHT TRIANGLES Radicals and Triangle Inception

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√50 √25 5 √2 √27 √9 3 √3

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Page 1: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

RIGHT TRIANGLES

Radicals and Triangle Inception

Page 2: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

8.1 Expressions with Radicals

Essential Question: How do I deal with expressions that contain radicals?

Page 3: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

Another way is to make a factor tree

√50

√25

5

√2

5√2√27

√9

3

√3

3√3

Page 4: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

√274

√4

2

√68

√4

2

√17

2*2*√17=4√17

Page 5: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

When adding radicals, add the CONSTANTS

√160

√16

4

√10 2√10+4√10=6√10

Page 6: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

=20√10820√10820 √108

√9

3

√12

√4

2

√3

=120√3

Page 7: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

=12√16=12*4=48

=25*2=50

Page 8: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

364

33*

3184

3

2*94

323*4

24

Page 9: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

830

88*

8240

815*16

8154

215

7628

77*

7*6148

42148

21144

Page 10: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

Take 10min and do 8.1 Homework

Show work (not just answers) Simplify fully Check answers with Ms. Bohler

Page 11: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

Technology break5min

Page 12: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

8.4 inscribed Similar Triangles

Essential Question: What is triangle inception?

Page 13: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

Altitude of a 90 ∆ drawn from the 90 angle, forms 2 ∆s that are similar to the original ∆

Page 14: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?
Page 15: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

1. Mark angles with rainbows2. Redraw ∆s and label sides3. Set up proportion

68

10 8x 6

x

8x

106

1048x 5

24x

Page 16: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

35

27

x 9x

x9

27x

2432 x 243x 39x

Page 17: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

35x

y20

x

15

y

x20

35x

710x15y

y35

215y

Page 18: Radicals and Triangle Inception. 8.1 Expressions with Radicals Essential Question: How do I deal with expressions that contain radicals?

homework 8.1 ALL 8.4 odds