Radical, Dude Thou shall not leave perfect squares under the radical!

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Presentation transcript:

Radical, Dude Thou shall not leave perfect squares under the radical! Thou shall not leave partial perfect squares under the radical! Thou shall not leave fractions under a radical! Thou shall not leave radicals in the denominator!

Geometric Mean Geometric Mean – for any positive numbers a and b, the positive number x such that: b, x can not equal zero

Geometric Mean/Similar Triangles b x z y c a=5, b=12

Special Right Triangles 30 2x x x x

Trigonometry 54 Hypotenuse Adjacent Side Opposite Side

How do I remember all this? C A T Some Old Horse Caught Another Taking Oats Again Sin Opp Hyp Cos Adj Tan

Example

Example

Example

Example

Agenda Concept Review Homework Review Practice, Practice, Practice Flatland – 0 to 3 dimensions – Euclidean Geometry Edwin A Abbott – Headmaster 1884 Flatterland – Euclidean & Non-Euclidean, Physics Ian Stewart 2001

Example

8-3 Enrichment

8-3 Study Guide

8-3 Practice

8-3 Practice

8-3 Practice

8-3 Practice Quiz

8-1 - 8-3 Practice Quiz

8-1 - 8-3 Practice Quiz

8-4 Study Guide

8-4 Practice

8-4 Practice

Example

Practice…

Practice…

Homework Chapter 8 Cumulative Review Chapter 8 Practice Test Apollo 11 Extra Credit

Answers Ahead

Fill in the missing Information. C a b x B A z y c a b c x y z 9 7 10 4 12 8 15 18

Fill in the missing Information. b c 3 4 12 13 8 17 7 25 5 15

Fill in the missing Information. b c 5 7 9 45

Fill in the missing Information. b c 3 10 15 60