21 March 2011 Warm UP– silently please 1 ) HOMEWORK DUE NEXT CLASS: pg. 493: 1 - 6 include sketch, formula, substitution, math, units 2) WARM UP- Write.

Slides:

Advertisements

Similar presentations

Tuesday, February 2 Essential Questions

Advertisements

Objectives Justify and apply properties of 45°-45°-90° triangles.

Special Right Triangles Chapter 7.4. Special Right Triangles triangles triangles.

CHAPTER 8 RIGHT TRIANGLES

4.6-Square Roots and the Pythagorean Theorem CATHERINE CONWAY MATH081.

TODAY IN GEOMETRY… Warm Up: Simplifying Radicals

Special Right Triangles

EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.

Special Right Triangles

EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.

Slide The Pythagorean Theorem and the Distance Formula  Special Right Triangles  Converse of the Pythagorean Theorem  The Distance Formula: An.

Geometry Section 9.4 Special Right Triangle Formulas

The Distance and Midpoint Formulas and Other Applications 10.7.

Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.

Warm Up for TrigA- An intro to Trig 1. A 36m tree cracked at the hinge. The tip of the tree hit the ground 24m from the base. How many meters up from the.

MM2G1. Students will identify and use special right triangles.

White Boards ♥Please get white boards, markers & erasers.

Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form

REVIEW OF ROOTS 4 This is a collection of warm-ups and practice from class. 4 Click to advance the slide and follow along. 4 You can use the scroll bar.

Geometry Section 7.4 Special Right Triangles. 45°-45°-90° Triangle Formed by cutting a square in half. n n.

Chapter 7.4 Notes: Special Right Triangles

Special Right Triangles And Focus on Also called an isosceles right triangle.

Warm Up 1. 36m of a tree cracked as if hinged. The tip of the tree hit the ground 24m from the base. How many meters up from the base of the tree is the.

Assignment P : 1-18, 23-25, 28, 30, 31, 34, 36 Challenge Problems.

Special Right Triangles

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

Special Right Triangles 5.5. Derive the leg lengths of special right triangles. Apply the ratios of the legs of special right triangles to find missing.

Example The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation to.

8.2 Special Right Triangles. Side lengths of Special Right Triangles Right triangles whose angle measures are 45°-45°-90° or 30°- 60°-90° are called special.

11.4 Pythagorean Theorem Definitions Pythagorean Theorem

9.4 Special Right Triangles

A diagonal of a square divides it into two congruent isosceles right triangles. Since the base angles of an isosceles triangle are congruent, the measure.

Honors Geometry Section 5.5 Special Right Triangle Formulas.

Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter.

 Remember the pattern for right triangles: Area of small square + Area of medium square = Area of large square.

8-2 Special Right Triangles Objective: To use the properties of and triangles.

Success Criteria:  I can identify the pattern of special right triangles  I can put answers in standard radical form to identify patterns Today’s Agenda.

Geometry 7-5 Areas of Regular Polygons. Review Areas.

– Use Trig with Right Triangles Unit IV Day 2.

Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify expression. 3.

Special Right Triangles

Objectives Justify and apply properties of 45°-45°-90° triangles.

Complete “You Try” section p.11 in your workbook!

8-2 Special Right triangles

4 Chapter Chapter 2 Decimals.

9.2 Special Right Triangles EQ: What are the relationships between the sides on a triangle? Moody Mathematics.

17 March 2011 Warm UP– silently please

Special Right Triangles

Section ˚-60˚-90˚ Triangles.

8-2 Special Right Triangles

7.1 Apply the Pythagorean Theorem

Objectives Justify and apply properties of 45°-45°-90° triangles.

Class Greeting.

7-4: special right triangles

9.4 Special Right Triangles

Drill The two legs of a right triangle are 6 and 8, find the hypotenuse. 2) Would these three sides 6, 8, 11 form a right triangle? 3) Find the area of.

Objective: To use the properties of 30°-60°-90° triangle.

9.2 A diagonal of a square divides it into two congruent isosceles right triangles. Since the base angles of an isosceles triangle are congruent, the measure.

REVIEW OF ROOTS This is a collection of warm-ups and practice from class. Click to advance the slide and follow along. You can use the scroll bar at the.

Lesson 8 – 3 Special Right Triangles

Special Right Triangles

Warm-up Find the missing length of the right triangle if a and b are the lengths of the legs and c is the length of the hypotenuse. a = b = a = 2.

5.1 Special Right Triangles

10-1 The Pythagorean Theorem

Triangle Relationships

Presentation transcript:

21 March 2011 Warm UP– silently please 1 ) HOMEWORK DUE NEXT CLASS: pg. 493: include sketch, formula, substitution, math, units 2) WARM UP- Write with no perfect squares under the radical:

Objective Students will discover relationships between lengths of sides of 45⁰-45⁰-90⁰ and 30⁰-60⁰-90⁰ triangles. Homework Due TODAY page 498: 1, 2, 4, 17, 19 include sketch, formula, substitution, math, units √ or X or -10

words to know… isosceles triangle- two sides same length simplify a radical—write as a product of smaller radicals without using decimal approximations simplified radical– no perfect square factors left under the radical sign

Two Special Right Triangles Isosceles right triangle Length of each leg 12345…78… Length of hypotenuse Sketch each using isometric dot paper– look for patterns!

What is the relationship between the lengths of the shorter side of a triangle and the hypotenuse? Consider an equilateral triangle ABC. A B C D 60 ⁰

Two Special Right Triangles Length of shorter leg 12345…78… Length of hypotenuse Length of longer leg Find EXACT lengths – not decimal approximations

Term Definition Example Isosceles Right Triangle Conjecture In an isosceles right triangle, if the legs have length a, then the hypotenuse has length Triangles In a Triangle, if the shorter leg has length a, then the longer leg has length And the hypotenuse has length Chapter 9 Pythagorean Theorem a

Perfect squares Simplify the radicals: