Geometry Chapter 8. We are familiar with the Pythagorean Theorem:

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Right Triangles and Trigonometry Geometry Chapter 8

Transcript of Geometry Chapter 8. We are familiar with the Pythagorean Theorem:

Right Triangles and Trigonometry

Geometry Chapter 8

We are familiar with the Pythagorean Theorem:

8-1 The Pythagorean Theorem and its converse

8-1 The Pythagorean Theorem and its converse

8-1 The Pythagorean Theorem and its converse

8-1 The Pythagorean Theorem and its converse

8-1 The Pythagorean Theorem and its converse

8-1 The Pythagorean Theorem and its converse

8-1 The Pythagorean Theorem and its converse

For each triangle, use the Pythagorean theorem to find the length of the hypotenuse. Leave the answer in simplest radical form.

8-2 Special Right Triangles

2

25

5

4

4

8-2 Special Right Triangles

8-2 Special Right Triangles

8-2 Special Right Triangles

8-2 Special Right Triangles

8-2 Special Right Triangles

solve for the missing sides – leave you answer in radical form.

8-2 Special Right Triangles

Homework: 420 (1-25) odd 428 (1-15) odd

8-2 Special Right Triangles

Warm Up

8-3 The Tangent Ratio

For each pair of complementary angles ∠A and ∠B, there is a family of similar right triangles.

In each family the ratio:

is constant no matter the size of ∆ABC

8-3 The Tangent Ratio

This trigonometric ratio is called the tangent ratio.

8-3 The Tangent Ratio

8-3 The Tangent Ratio

8-3 The Tangent Ratio

8-3 The Tangent Ratio

8-4 The Sine and Cosine Ratios

8-4 The Sine and Cosine Ratios

8-4 The Sine and Cosine Ratios One way to remember which ratio

corresponds to each trig function is to remember the word: SOH-CAH-TOA

SOH: sine opposite over hypotenuse CAH: cosine adjacent over hypotenuse TOA: tangent opposite over adjacent

8-4 The Sine and Cosine Ratios

8-4 The Sine and Cosine Ratios

8-5 Angles of Elevation and Angles of Depression

8-5 Angles of Elevation and Angles of Depression

8-5 Angles of Elevation and Angles of Depression

8-5 Angles of Elevation and Angles of Depression

homework

page 441 (1-16) all page 447 (1-14) all

Chapter 8 test next week Tuesday/Wednesday

8-5 Angles of Elevation and Angles of Depression