WARM UP. 9.4 SPECIAL RIGHT TRIANGLES LEARNING OUTCOMES I will be able to find missing lengths of a 45-45-90 triangle I will be able to find the missing.

Slides:



Advertisements
Similar presentations
Tuesday, February 2 Essential Questions
Advertisements

Agenda 1) Bell Work 2) Outcomes 3) Review/Finish 8.6 Notes
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.
Suppose we want to buy an entertainment center, but it only holds enough room in the cubicle for a 27-inch TV set. We know that the length of our TV is.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Algebra 12.5 The Pythagorean Theorem. Radical Review  Simplify each expression. You try! = 5 = 8/3 = 28 = 9/5.
MM2G1. Students will identify and use special right triangles.
White Boards ♥Please get white boards, markers & erasers.
Special Right Triangles
Warm Up Find x. Leave answer as simplified radical.
Special Right Triangles. Draw 5 squares with each side length increasing by
Special Right Triangles And Focus on Also called an isosceles right triangle.
9.1 - SIMILAR RIGHT TRIANGLES. LEARNING OUTCOMES I will be able to recognize similar right triangles created by drawing an altitude to the hypotenuse.
5.4 What If The Triangle Is Equilateral? Pg. 9 Equilateral Triangles.
Things to remember: Formula: a 2 +b 2 =c 2 Pythagorean Theorem is used to find lengths of the sides of a right triangle Side across from the right angle.
Simplify √ 196. If no answer exists, state “not real.” 14.
Special Right Triangles EQ: How do you find the missing side lengths in special right triangles? M2 Unit 2: Day 1.
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.
1 Trig. Day 3 Special Right Triangles. 2 45°-45°-90° Special Right Triangle 45° Hypotenuse X X X Leg Example: 45° 5 cm.
WARM UP What is the Pythagorean Theorem? You place a 10-foot ladder against a wall. If the base of the ladder is 3 feet from the wall, how high up the.
Warm-up Solve the equation for the missing variable. Assume all variables are positive. Express the answer in simplified radical form. 1. c 2 =
TODAY IN GEOMETRY…  Warm Up: Simplifying Radicals  STATs for Ch. 6 Quiz  Learning Target : 7.3 Use properties of special right triangles to solve for.
5.2 What If The Triangle Is Equilateral? Pg. 6 Equilateral Triangles.
Special Right Triangles. Right triangles have one 90 o angle The longest side is called the HYPOTENUSE It is directly across from the 90 o The other sides.
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.
Special Right Triangles Lesson 7-3: Special Right Triangles1.
– 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.
Holt McDougal Geometry 5-8 Applying Special Right Triangles Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form.
HMWK: p. 554, #s 12 – 25 all Game Plan: Today I will be able to use special right triangles to calculate side lengths. Warm-up: Simplify the following.
triangle.
Complete “You Try” section p.11 in your workbook!
Solving sides of special right triangles
Special Right Triangles
Warm-Up Find x. 2x+12 =6 12x=24 √25 = x.
Find each value in simplified radical form. a) b)
Objectives Justify and apply properties of 45°-45°-90° triangles.
8-2 Special Right Triangles
Lesson 8-2: Special Right Triangles
7.1 Apply the Pythagorean Theorem
Unit 7A - Lesson #6: Special Right Triangles (Textbook Section 7-3)
Math Humor.
Discovering Special Triangles
Quiz Review.
8-4: Special Right Triangles
6-3 The Pythagorean Theorem Pythagorean Theorem.
7-3 Special Right Triangles
Class Greeting.
45°-45°-90° Special Right Triangle
5-8 Special Right Triangles
5-8 Special Right Triangles
Radical Equations and Problem Solving
7-1 and 7-2: Apply the Pythagorean Theorem
Objective: To use the properties of 45°-45°-90° triangles.
Geometry 9.2 Special Right Triangles
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.
Special Right Triangles
Special Right Triangles
COMPLETELY factor the following: 5
5-3 Unit 5 Trigonometry.
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.
Warm Up:.
Special Right Triangles
Special Right Triangles
Right Triangle Bingo.
Right Triangles and Trigonometry
Warm Up April 1st What is the hypotenuse if the leg lengths are a = 72 and b = 30? Simplify 72.
Special Right Triangles
Presentation transcript:

WARM UP

9.4 SPECIAL RIGHT TRIANGLES

LEARNING OUTCOMES I will be able to find missing lengths of a triangle I will be able to find the missing lengths of a triangle.

TRIANGLES What do we know about the legs of a Triangle?

TRIANGLE ACTIVITY 1.) Grab a whiteboard and a dry erase marker. 2.) Draw a triangle in the top right corner of your whiteboard. Give values to the legs (not the hypotenuse) of the triangle. (Use values less than 10) 3.) Leave your board on your desk and stand up. 4.) Go to someone else’s seat and solve for the hypotenuse of the triangle. Leave your answer as a simplified radical. 5.) Switch seats with someone else and double check their work.

TRIANGLE ACTIVITY What kind of patterns do you notice? What will be the hypotenuse of this triangle? (Write this down!) x x 45°

HOW CAN WE USE THIS? Find the hypotenuse of the right triangle °

HOW CAN WE USE THIS? Find the legs of this Triangle 25 45°

WHAT ABOUT THESE TYPES OF PROBLEMS? Solve for x x=6 10 x x 45°

YOUR TURN

TRIANGLES Assume this is an equilateral triangle. What is the height? 2 1

TRIANGLES What is the pattern? (WRITE THIS DOWN!) 30° x 2x

TRIANGLES Find the missing side lengths based on the given information. 30° 2 4

TRIANGLES Find the missing side lengths based on the given information. 30° 5 10

TRIANGLES Find the missing side lengths based on the given information. 30° 6 12

WHAT ABOUT THESE PROBLEMS? Find the missing values based on the information. 30° 9 6

YOUR TURN

Draw the triangle and label x and y. Pg. 554: 12-26, EXIT TICKETHOMEWORK