5.5 Inequalities in Triangles Learning Target I can use inequalities involving angles and sides in triangles.

Slides:



Advertisements
Similar presentations
CHAPTER 6: Inequalities in Geometry
Advertisements

Use Inequalities in a Triangle Ch 5.5. What information can you find from knowing the angles of a triangle? And Vice Verca.
Triangle Inequality Theorem:
Warm-up: Find the missing side lengths and angle measures This triangle is an equilateral triangle 10 feet 25 feet This triangle is an isosceles triangle.
Inequalities in One Triangle
TODAY IN GEOMETRY…  Learning Target: 5.5 You will find possible lengths for a triangle  Independent Practice  ALL HW due Today!
Triangle Inequality Theorems Sec 5.5 Goals: To determine the longest side and the largest angle of a triangle To use triangle inequality theorems.
5.5 Inequalities in Triangles
Determining if a Triangle is Possible. How many different acute triangles can you draw? How many different right scalene triangles can you draw? Recall.
Triangle Inequalities
The Hinge Theorem Sec 5.6 Goal: To use the hinge theorem.
1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the.
Honors Geometry Section 4.8 Triangle Inequalities
A B C 12 We know ∠B = ∠C S TU 1214 We could write a proof to show ∠T ≠∠U *We could also prove that m ∠T > m ∠U, BUT theorem 1 tells us that!
Lesson 3-3: Triangle Inequalities 1 Lesson 3-3 Triangle Inequalities.
5-6 Inequalities in One Triangle
L.E.Q. How do you use inequalities involving angles and sides of triangles?
Use Inequalities in A Triangle
3.3 Triangle Inequality Conjecture. How long does each side of the drawbridge need to be so that the bridge spans the river when both sides come down?
5.5Use Inequalities in a Triangle Theorem 5.10: If one side of a triangle is longer than the other side, then the angle opposite the longest side is _______.
5.6 Inequalities in One Triangle The angles and sides of a triangle have special relationships that involve inequalities. Comparison Property of Inequality.
5.5 Inequalities in Triangles
Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.
Triangle Inequality Objective: –Students make conjectures about the measures of opposite sides and angles of triangles.
4.7 Triangle Inequalities. Theorem 4.10 If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than.
LEQ: How can use angle measures or side lengths to make conclusions in triangles?
Topic 5-7 Inequalities in one triangle. How many different triangles can we make using these six pieces? 2 1.What are your guesses? 2.What guess is too.
Entry Task In Webgeogebra.org construct a triangle. Carefully measure each side and angle in each triangle. List the sides of the triangle in order from.
4.7 Triangle Inequalities. In any triangle…  The LARGEST SIDE lies opposite the LARGEST ANGLE.  The SMALLEST SIDE lies opposite the SMALLEST ANGLE.
Thursday, November 8, 2012 Agenda: TISK & No MM Lesson 5-5: Triangle Inequalities Homework: 5-5 Worksheet.
1 Triangle Inequalities. 2 Triangle Inequality The smallest side is across from the smallest angle. The largest angle is across from the largest side.
Name the angles opposite of each side:  X is opposite of YZ  Y is opposite of XZ  Z is opposite of XY X Y Z.
1 Objectives State the inequalities that relate angles and lengths of sides in a triangle State the possible lengths of three sides of a triangle.
LESSON 5-5 INEQUALITIES IN TRIANGLES OBJECTIVE: To use inequalities involving angles and sides of triangles.
Geometry Section 5.5 Use Inequalities in a Triangle.
Chapter 5: Relationships Within Triangles 5.5 Inequalities in Triangles.
5.5 – Use Inequalities in a Triangle. MN P Measure each side of the triangle in centimeters and each angle in degrees. Write these measurements on your.
4.7 Triangle Inequalities
Triangle Inequalities. Triangle Inequality #1 Triangle Inequality 1(577031).ggb Triangle Inequality 1(577031).ggb This same relation applies to sides.
Lesson 5.5 Use Inequalities in a Triangle. Theorem 5.10 A B C 8 5 IF AB > BC, THEN C > A The angle opposite the longest side is the largest angle; pattern.
Chapter 5 Lesson 5 Objective: To use inequalities involving angles and sides of triangles.
Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Chapter 5.5 Notes: Use Inequalities in a Triangle Goal: You will find possible side lengths of a triangle.
5.6 Notes Inequalities in One Triangle. Comparison Property of Inequality.
Chapter 4-3 Inequalities in One Triangle Inequalities in Two Triangles.
5.4 Inequalities in One Triangle
Triangle Inequalities
Triangle Inequalities
Triangle Inequalities
Homework: Maintenance Sheet 17 *Due Thursday
Triangle Inequalities
Bellwork 1) AG = 18 cm. What is AD? 2) Solve for x.
Triangle Inequalities
Triangle Inequalities
Inequalities for One Triangle
Try This… Measure (using your ruler), three segments 2 inches
LESSON 5-5 INEQUALITIES IN TRIANGLES OBJECTIVE: To use inequalities involving angles and sides of triangles.
TRIANGLE INEQUALITY THEOREM
5.5 Inequalities in Triangles
BASIC GEOMETRY Section 5: Inequalities in one Triangle
Use Inequalities in a Triangle
Triangle Inequalities
TRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREM
Triangle Inequalities
Have your homework out when the bell rings.
Triangle Inequalities
Warm Up: List the angles and the sides in order from smallest to largest B A C.
Triangle Inequalities
Section 5-5 Inequalities in triangles
Presentation transcript:

5.5 Inequalities in Triangles

Learning Target I can use inequalities involving angles and sides in triangles.

In Triangles, the longer side lies opposite the larger angle.

Lets apply this and do on the worksheet

Lets do 1-6

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side

Can a triangle have sides with the given lengths? – 3 ft, 7 ft, 8 ft – 3 cm, 6 cm, 10 cm

Try 7-15 on your worksheet.

Lets look at together

RECAP – Can you list angles and sides in order from smallest to largest. – Can you determine if a triangle can have the given lengths.

Homework: p. 277 #4-25

P. 694 #1-30