Special Right Triangles

Slides:

Advertisements

Similar presentations

Special Right Triangles Moody Mathematics. Take a square… Moody Mathematics.

Advertisements

Special Right Triangles

Special Right Triangles

AB C D Clickers x. AB C D x  Today we’re going to be working with some special right triangles that occur within other geometric figures  The ratios.

Moody Mathematics $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

5.5: Special Right Triangles and Areas of Regular Polygons

Special Right Triangles Keystone Geometry

CHAPTER 8 RIGHT TRIANGLES

SPECIAL RIGHT TRIANGLES. A special right triangle is a right triangle with some features that make calculations on the triangle easier. WHAT ARE SPECIAL.

Lesson 56: Special Right Triangles

Special Right Triangles

Unit 7 Part 2 Special Right Triangles 30°, 60,° 90° ∆s 45°, 45,° 90° ∆s.

Geometry Section 9.4 Special Right Triangle Formulas

Special Right Triangles Right Isosceles Triangle Leg Hypotenuse Legs are congruent Hypotenuse = Legs =

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

Special Right Triangles. Draw 5 squares with each side length increasing by

Special Right Triangles

Warm Up Find the value of x. Leave your answer in simplest radical form. 7 x 9 x 7 9.

Honors Geometry Section 9.4 Special Right Triangles.

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

Special Right Triangles

Area of regular polygons

- Special Right Triangles Chapter 4 Understanding Trigonometric Functions Language Objectives: We will review Special Right Triangles by do worksheet 11A.

8.2 Special Right Triangles

Moody Mathematics $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400.

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.

Bell Ringer 30  60  3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a triangle in word problems.

1 Trig. Day 3 Special Right Triangles. 2 45°-45°-90° Special Right Triangle 45° Hypotenuse X X X Leg Example: 45° 5 cm.

8.2 Special Right Triangles

Special Right Triangles Keystone Geometry

Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 =

Special Right Triangles Advanced Geometry Trigonometry Lesson 2.

Honors Geometry Section 5.5 Special Right Triangle Formulas.

NOVEMBER 3, 2008 Pythagorean Theorem and Special Right Triangles.

Refresh Your Skills for Chapter 12.  If you split an equilateral triangle in half along an altitude, you create two right triangles with angles of 30°,

Special Right Triangles. Take a square… Find its diagonal Here it is.

Special Right Triangles. In a triangle, the length of the hypotenuse is equal to times the length of a leg. Hypotenuse.

– Use Trig with Right Triangles Unit IV Day 2.

Special Right Triangles

Pythagorean Theorem and Special Right Triangles

Two Special Right Triangles

Special Cases, for Right Triangles

Special Right Triangles

Special Right Triangles.

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

Solving sides of special right triangles

Special Right Triangles

Special Cases, for Right Triangles

8-2 Special Right triangles

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

Lesson 10: Special Right Triangles

8-2 Special Right Triangles

Section 5.5: Special Right Triangles

Mathayom 3 Test.

The perimeter of a square is 24 feet. Find the length of its diagonal.

Special Right Triangles

45°-45°-90° Special Right Triangle

Special Right Triangles Keystone Geometry

Special Right Triangles

Special Right Triangles

Special Right Triangles

Special Right Triangles

Special Right Triangles

Special Right Triangles

Special Right Triangles

7.3 Special Right Triangles

7-3 Special Right Triangles

Special Right Triangles

Presentation transcript:

Special Right Triangles Moody Mathematics

Take a square… Moody Mathematics

Find its diagonal Here it is Moody Mathematics

Find ?. ? a a Moody Mathematics

Summarize the pattern: Moody Mathematics

45o-45o-90o a a a Moody Mathematics

Practice: Moody Mathematics

45o-45o-90o 6 6 6 Moody Mathematics

45o-45o-90o 8 8 8 Moody Mathematics

45o-45o-90o 5 5 5 Moody Mathematics

45o-45o-90o 10 10 10 Moody Mathematics

45o-45o-90o 2 Moody Mathematics

45o-45o-90o Moody Mathematics

45o- 45o-90o Moody Mathematics

45o-45o-90o Moody Mathematics

Now Let’s take an Equilateral Triangle… Moody Mathematics

… Find its Altitude Moody Mathematics

… Find its Altitude a a ? a Moody Mathematics

Summarize the pattern: Moody Mathematics

30o-60o-90o Shorter Leg Hypotenuse Longer leg Moody Mathematics

30o-60o-90o a 2a a Moody Mathematics

Practice: Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

30o-60o-90o Moody Mathematics

Review Both Patterns: Moody Mathematics

45o-45o-90o a a a Moody Mathematics

30o-60o-90o a 2a a Moody Mathematics

Mixed Practice: Moody Mathematics

Moody Mathematics

Moody Mathematics

8 8 8 Moody Mathematics

10 10 10 Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

Moody Mathematics

4 4 Moody Mathematics

2 Moody Mathematics

Moody Mathematics

Summarizing the Pattern

Examples: 1.

2.

3.

4.

5.

6.

7.

8.