Section 18.3: Special Right Triangles

Slides:

Advertisements

Similar presentations

Measurement Pythagorean Relationship 3 (Finding the length of an unknown leg)

Advertisements

Pythagorean Relationship 2 (Finding the length of the Hypotenuse)

Trigonometry Ratios.

Pythagoras Bingo. Pick 8 from the list C no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.

The Tangent Ratio CHAPTER 7 RIGHT TRIANGLE TRIGONOMETRY.

Measurement – Right Angled Triangles By the end of this lesson you will be able to identify and calculate the following: 1. The Tangent Ratio.

Special Right Triangles

Solving Right Triangles Given certain measures in a right triangle, we often want to find the other angle and side measures. This is called solving the.

TODAY IN ALGEBRA 2.0…  Review: Pythagorean Theorem  Learning Target: Find all six trigonometric functions.  Independent Practice.

EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

8.3 Solving Right Triangles

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

MA.912.T.2.1 CHAPTER 9: RIGHT TRIANGLES AND TRIGONOMETRY.

Chapter 8.1 Common Core G.SRT.8 & G.SRT.4 – Use…Pythagorean Theorem to solve right triangles in applied problems. Objective – To use the Pythagorean Theorem.

Lesson Handout #1-49 (ODD). Special Right Triangles and Trigonometric Ratios Objective To understand the Pythagorean Theorem, discover relationships.

Objective The student will be able to:

1/30/12 Chapter 6 Test HW : pg 346 #21-26, 33, 34; pg 363 #46, 48.

Solving Right Triangles Geometry H2 (Holt 8-3)K. Santos.

Sec 6.2 Trigonometry of Right Triangles Objectives: To define and use the six trigonometric functions as ratios of sides of right triangles. To review.

11/11/2015 Geometry Section 9.6 Solving Right Triangles.

Right Triangles and Trigonometry Chapter Geometric Mean  Geometric mean: Ex: Find the geometric mean between 5 and 45 Ex: Find the geometric mean.

7-1: Special Right Triangles and Trigonometric Ratios

TRIGONOMETRY Lesson 2: Solving Right Triangles. Todays Objectives Students will be able to develop and apply the primary trigonometric ratios (sine, cosine,

Notes Over Trigonometric Ratios SOHCAHTOA A B C.

4.7 – Square Roots and The Pythagorean Theorem Day 2.

Class Work 1.Express in exponential form. 2.Express in logarithmic form. 3.Evaluate.

OBJ: SWBAT APPLY TRIG FUNCTIONS (8.3) HW (DAY 41): WORKSHEET- ODDS STORYBOOK: “RIGHT TRIANGLES” PEARSONSUCCESS.NET (DUE FRIDAY) WU: WKS (1, 6, 23, 24,

Section 13.1.a Trigonometry. The word trigonometry is derived from the Greek Words- trigon meaning triangle and Metra meaning measurement A B C a b c.

TRIGONOMETRY Lesson 2: Solving Right Triangles. Todays Objectives Students will be able to develop and apply the primary trigonometric ratios (sine, cosine,

Investigate Tangent Ratios 1. Select one angle measure from 20º, 30º, 40º, or 50º. 2. Each person draw a right triangle ( ∆ ABC) where  A has the selected.

Pythagorean Theorem & its Converse 8 th Grade Math Standards M.8.G.6- Explain a proof of the Pythagorean Theorem and its converse. M.8.G.7 - Apply the.

Lesson 9.9 Introduction To Trigonometry Objective: After studying this section, you will be able to understand three basic trigonometric relationships.

Trig Functions – Part Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

 Find the value of the other five trigonometric functions.

Lesson 8-4 Special Right Triangles (page 300) Essential Question What is so special about the special right triangles?

Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS

Section 5.1: Multipliying Polynomial Expressions by Monomials

Section 17.1: Translations

Section 21.2: AAS Triangle Congruence

Section 13.3: Solving Absolute Value Equations

Lesson 9.9 Introduction To Trigonometry

Section 11.2: Solving Linear Systems by Substitution

Section 16.1: Dilations.

7.7 Solve Right Triangles Obj: Students will be able to use trig ratios and their inverses to solve right triangles.

Notes Over Pythagorean Theorem

Apply the Distance and Midpoint Formulas

Section 21.3: HL Triangle Congruence

Section 24.1: Properties of Parallelograms

Section 15.6: Properties of Parallelograms

Section 13.1: Understanding Piecewise-Defined Functions

Section 20.1: Exploring What Makes Triangles Congruent

Section 18.1: Sequences of Transformations

Section 17.3: Rotations.

Section 12-1a Trigonometric Functions in Right Triangles

Applying Relationships in Special Right Triangles

Section 20.2: ASA Triangle Congruence

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Section 2.2: Solving Absolute Value Equations

Section 20.4: SSS Triangle Congruence

Objective(s): By following instructions, students will be able to: Discover that the corresponding parts of congruent figures are congruent.

Solving Right Triangles

Inverse Trigonometric Functions (Section 4-7)

Section 15.1: Interior and Exterior Angles

Turn to Page S.89 Challenging Question

Section 12.2: Graphing Systems of LInear Inequalities

Similar Triangles Review

Finding unknown angles of triangles

Section 2.3: Solving Absolute Value Inequalities

Presentation transcript:

Section 18.3: Special Right Triangles

Objective: By following instructions, students will be able to: learn about the side lengths and the trigonometric ratios in special right triangles.

explain 1A Find the unknown side lengths in triangle ABC.

explain 1B Find the unknown side lengths in triangle DEF.

Your-Turn #1 Find the unknown side lengths in each right triangle. a) b)

explain 2A Find the unknown side lengths and trigonometric ratios for the angles.

explain 2B Find the unknown side lengths and trigonometric ratios for the angles.

Your-Turn #2 Find the unknown side lengths and trigonometric ratios for the 45 degree angles.

Pythagorean Triples 3, 4, 5 5, 12, 13 7, 24, 25 8, 15, 17

explain 3A Use the Pythagorean triples to find side lengths in right triangles..

explain 3B Use the Pythagorean triples to find side lengths in right triangles..

Revisit Objective: Did we… learn about the side lengths and the trigonometric ratios in special right triangles?

HW: Sec 18.3 page 741 #s 1-17 ODD, 22