Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and...

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Solve Right Triangles Ch 7.7

Transcript of Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and...

Page 1: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Solve Right Triangles

Ch 7.7

Page 2: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Solving right triangles

• What you need to solve for missing sides and angles of a right triangle:

– 2 side lengths

– or

– A side and an angle

Page 3: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Inverse Trigonometric Ratios

Page 4: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Find the measure of angle C

•Ask yourself, “what 2 sides do I have?”

•Ask yourself, “what trig function should I use? Sine? Cosine? Or Tangent?”

•Set up the ratio

•Find the angle measure.

opposite

adjacent

Cadj

opp 1tan

C

15

20tan 1

C13.53

Page 5: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Find the móC and móA

Page 6: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Solve the triangle

Page 7: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Solve the triangle

Page 8: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Solve the triangle

Page 9: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
Page 10: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
Page 11: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –
Page 12: Solve Right Triangles Ch 7.7. Solving right triangles What you need to solve for missing sides and angles of a right triangle: – 2 side lengths – or –

Assume the given angle is acute, find the angle measure to the nearest tenth

• sin A = 0.78

3.5178.0sin 1

99.0cos x

1.899.0cos 1

45.0tan x

2.2445.0tan 1


Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

Essential Question? How can we use triangles, especially right triangles, to solve problems?

Essential Question? How can we use triangles, especially right triangles, to solve problems?

Right s and trigonometry 7 Pythagorean Theorem the determine right triangles 6 Pythagorean Theorem, solve sides 5 WP: Pythagorean Theorem 4 Special Right.

Right s and trigonometry 7 Pythagorean Theorem the determine right triangles 6 Pythagorean Theorem, solve sides 5 WP: Pythagorean Theorem 4 Special Right.

Solving Right Triangles M2 Unit 2: Day 6 How do you solve right triangles?

Solving Right Triangles M2 Unit 2: Day 6 How do you solve right triangles?

Right triangles

Right triangles

Pythagorean Theorem, Classifying triangles, Right Triangles

Pythagorean Theorem, Classifying triangles, Right Triangles

Solving Right TrianglesSolving Right Triangles › ... › Centricity › Domain › 622 › g_ch08_0… · 8-3 Solving Right Triangles Example 3: Solving Right Triangles Find the

Solving Right TrianglesSolving Right Triangles › ... › Centricity › Domain › 622 › g_ch08_0… · 8-3 Solving Right Triangles Example 3: Solving Right Triangles Find the

Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.

Special Right Triangles Objectives: 1.To use the properties of 45-45-90 and 30-60-90 right triangles to solve problems.

Special Right Triangles Objectives: 1.To use the properties of 45-45-90 and 30-60-90 right triangles to solve problems.

Special Right Triangles 30:60:90 Right Triangles.

Special Right Triangles 30:60:90 Right Triangles.

8-1 Similarity in Right Triangles 2/19/13. Bell Work 1. Write a similarity statement comparing the two triangles. Simplify. 2.3. Solve each equation.

8-1 Similarity in Right Triangles 2/19/13. Bell Work 1. Write a similarity statement comparing the two triangles. Simplify. 2.3. Solve each equation.

4-6 Congruence in Right Triangles 1 card. Vocabulary Right Triangles.

4-6 Congruence in Right Triangles 1 card. Vocabulary Right Triangles.

Holt Geometry 8-3 Solving Right Triangles I can use trigonometric ratios to find angle measures in right triangles and to solve real-world problems. Targets.

Holt Geometry 8-3 Solving Right Triangles I can use trigonometric ratios to find angle measures in right triangles and to solve real-world problems. Targets.

Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.

Chapter 10.1 Common Core – G.SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Objectives – To solve.

7-7 Solving Right Triangles Geometry Objectives/Assignment Solve a right triangle. Use right triangles to solve real-life problems, such as finding the.

7-7 Solving Right Triangles Geometry Objectives/Assignment Solve a right triangle. Use right triangles to solve real-life problems, such as finding the.

7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry.

7.4.1 SPECIAL RIGHT TRIANGLES Chapter 7: Right Triangles and Trigonometry.

Solving Right Triangles Essential Question How do I solve a right triangle?

Solving Right Triangles Essential Question How do I solve a right triangle?

6.6 Similar Triangle Right Triangles · Similar Triangles in Right Triangles 6.6 ... triangles and write and solve proportions as needed. 6.6 ... Right triangles, ...

6.6 Similar Triangle Right Triangles · Similar Triangles in Right Triangles 6.6 ... triangles and write and solve proportions as needed. 6.6 ... Right triangles, ...

(8 – 2) Law of Sines Learning target: To solve SAA or ASA triangles To solve SSA triangles To solve applied problems We work with any triangles: Important.

(8 – 2) Law of Sines Learning target: To solve SAA or ASA triangles To solve SSA triangles To solve applied problems We work with any triangles: Important.

8-6 The Law of Sines and Law of Cosines You used trigonometric ratios to solve right triangles. Use the Law of Sines to solve triangles. Use the Law of.

8-6 The Law of Sines and Law of Cosines You used trigonometric ratios to solve right triangles. Use the Law of Sines to solve triangles. Use the Law of.