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

Slides:



Advertisements
Similar presentations
Circle – Formulas Radius of the circle is generally denoted by letter R. Diameter of the circle D = 2 × R Circumference of the circle C = 2 ×  × R (
Advertisements

10.1 Triangles. Acute Triangle Not Acute Triangles.
Unit 6 Lesson 2 Special Right Triangles
Geometry Section 9.4 Special Right Triangle Formulas
Geometry One is always a long way from solving a problem until one actually has the answer. Stephen Hawking Today: ACT VOCAB CHECK 8.4 Cont. Practice.
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.
Special Right Triangles Right Isosceles Triangle Leg Hypotenuse Legs are congruent Hypotenuse = Legs =
Geometry The function of education is to teach one to think intensively and to think critically. Intelligence plus character - that is the goal of true.
Area Formulas and Parallelograms
Special Right Triangles Chapter 8 Section 3 Learning Goal: Use properties of 45°-45 °-90 °, and 30 °-60 °-90 ° Triangles  We make a living by what we.
8.2: Special Right Triangles
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–3) CCSS Then/Now New Vocabulary Key Concept: Trigonometric Ratios Example 1: Find Sine, Cosine,
11/11/2015 Geometry Section 9.6 Solving Right Triangles.
Triangle A polygon with three sides and three angles. A triangle can be names by its’ side lengths and angles. – Side lengths: isosceles, equilateral,
- Special Right Triangles Chapter 4 Understanding Trigonometric Functions Language Objectives: We will review Special Right Triangles by do worksheet 11A.
9.4 Special Right Triangles
11/27/ : Special Right Triangles1 G1.2.4: Prove and use the relationships among the side lengths and the angles of 30°- 60°- 90° triangles and 45°-
Unit 8 Lesson 9.4A Special Right Triangles
Unit 6 Lesson 3 Special Right Triangles
8.3 Similar Polygons. Similar Polygons Definition : Similar polygons have congruent angles and sides in the same ratio (called Scale factor). Write the.
Special Right Triangles Advanced Geometry Trigonometry Lesson 2.
Why does the line y = x only have one slope? What is true about all of the triangles? How does this relate to Pythagorean Theorem?
Unit 6 Lesson 6b Trigonometric Ratios CCSS G-SRT 6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle,
13.1 Right Triangle Trigonometry. Trigonometry: The study of the properties of triangles and trigonometric functions and their applications. Trigonometric.
G.14 The student will use similar geometric objects in two- or three-dimensions to a. compare ratios between side lengths, perimeters, areas, and volumes;
Special Right Triangles
Geometry/Trig 2 Name __________________________
Splash Screen.
Warm-up Solve for x x x-3 4 x+6 x+1 x
Splash Screen.
Unit 3.4 Understanding Trigonometry and Solving Real-World Problems
Splash Screen.
Ratios, Proportions, & Geometric Mean
Section 11-7 Ratios of Areas.
11.6 Perimeters and Areas of Similar Figures
9.2 Special Right Triangles EQ: What are the relationships between the sides on a triangle? Moody Mathematics.
Lesson 10: Special Right Triangles
Standards MGSE9-12.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions.
Solving Practical Problems Using Trigonometry
Splash Screen.
Find the perimeter of isosceles ∆KLM with base
Find lateral areas and surface areas of pyramids.
A cat is stuck in a tree and firefighters try to rescue it
Splash Screen.
Find x and y. Problem of the Day 4.
Find x. Problem of the Day 8.
Kiley plans to fly over the route marked on the map of Hawaii.
Find x. Round to the nearest hundredth if necessary.
Martha’s house is shaped like a square pyramid with four congruent equilateral triangles for its faces. All of the edges are 60 feet long. If the faces.
Day 97 –Trigonometry of right triangle 2
Day 99 – Trigonometry of right triangle 2
Class Greeting.
Section 12-1a Trigonometric Functions in Right Triangles
Simplify: 5 32
A 60-foot ramp rises from the first floor to the second floor of a parking garage. The ramp makes a 15° angle with the ground. How high above the.
Splash Screen.
8.1 Radicals/Geometric Mean
Corresponding Parts of Similar Triangles
Special Right Triangles
Igor noticed on a map that the triangle whose vertices are the supermarket, the library, and the post office (△SLP) is congruent to the triangle whose.
Bellwork Find m<DBC in square ABCD
Unit 3: Right Triangle Trigonometry
Pythagorean Theorem OR.
trigonometry trigonometric ratio sine cosine tangent inverse sine
To help support a flag pole, a 50-foot-long tether is tied to the pole at a point 40 feet above the ground. The tether is pulled taut and tied to an.
Unit 3: Right Triangle Trigonometry
Special Right Triangles
TWO SIDES-ANGLE AND PERIMETER-RATIO
Five-Minute Check (over Lesson 8–2) Mathematical Practices Then/Now
Five-Minute Check (over Lesson 8–1) Mathematical Practices Then/Now
Presentation transcript:

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

Section 8-3b Special Right Triangles (30° - 60° - 90°)

Then Now Objectives You used properties of equilateral triangles. Use the properties of 30° - 60° - 90° triangles.

Common Core State Standards Content Standards G.SRT.6 – Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles. Mathematical Practices 1) Make sense of problems and persevere in solving them. 7) Look for and make use of structure. Common Core State Standards

Find x and y. Example 1

Find x and y. Example 1

Find x and y. Example 1

Find x and y. Example 1

Find x and y. Example 1

Find x and y. Example 1

Find the length of the side of an equilateral triangle that has an altitude length of 11 3 . Example 1

p.563 #18 – 22, 26, 46 Homework