We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byPhillip Pears
Modified over 2 years ago
5.5 INEQUALITIES IN TRIANGLES
Review… Likewise, the smallest angle is always opposite the shortest side!
Help Mr. Tessalone! Mr. Tessalone wants to build a bench in the largest corner of his triangular deck.
Help Mr. Tessalone! Which angle should he build it in and why? He should build it at angle B – it is across from the longest side.
Help Mr. Tessalone! What if he wants to put a plant in the smallest angle? Where would that go and why? He should build it in angle A – it is across from the shortest side.
What if there is no diagram? Check your work by creating a diagram!
Think… Could we have a case where there is not one specific angle that is the largest/smallest? Yes, if it is an isosceles or equilateral triangle!
What if we knew angle measures… Could we find the largest side? Yes! Could we find the smallest side? Yes!
Converse to Theorem 5-10 Likewise, the shortest side is always opposite the smallest angle!
List The Sides From Longest to Shortest! First, you need to find the measure of
List the sides in order from shortest to longest.
5-5 INEQUALITIES IN TRIANGLES Objectives: Students will be able to: 1) Use inequalities involving angles of triangles 2) Use inequalities involving sides.
4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent.
4.7 TRIANGLE INEQUALITIES. Relationship between SIDES and ANGLES: In every triangle, the longest side is opposite the largest angle. In every triangle,
L.E.Q. How do you use inequalities involving angles and sides of triangles?
Geometry Section 5.5 Use Inequalities in a Triangle.
5.5 Inequalities in Triangles Chapter 5 Relationships Within Triangles.
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.
Triangle Inequality Theorem and Side Angle Relationship in Triangle.
Triangle Inequality Theorem. The sum of the two shorter sides of any triangle must be greater than the third side. Example: > 7 8 > 7 Yes!
Triangle Inequalities Part 2 Exterior Angle Inequality Theorem If an angle is an exterior angle of a triangle then its measure is greater than the measure.
Unit 2 Triangles Triangle Inequalities and Isosceles Triangles.
CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.
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.
Holt Geometry 5-5 Indirect Proof and Inequalities in One Triangle The positions of the longest and shortest sides of a triangle are related to the positions.
Use Inequalities in a Triangle Ch 5.5. What information can you find from knowing the angles of a triangle? And Vice Verca.
Section 5-5 Inequalities in One Triangle. Theorem 5-10 Longest side Largest angle Shortest side Smallest angle.
Earlier in this chapter, we looked at properties of individual triangles using inequalities. We know that the largest angle is opposite the longest.
Triangle Inequalities What makes a triangle and what type of triangle.
Chapter 4 Section 4.1 Section 4.2 Section 4.3. Section 4.1 Angle Sum Conjecture The sum of the interior angles of a triangle add to 180.
Isosceles Triangles Theorems Theorem 8.12 – If two sides of a triangle are equal in measure, then the angles opposite those sides are equal in measure.
Lesson 3-3: Triangle Inequalities 1 Lesson 3-3 Triangle Inequalities.
Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.
Chapter 5: Relationships Within Triangles 5.5 Inequalities in Triangles.
The Hinge Theorem Sec 5.6 Goal: To use the hinge theorem.
LESSON 5-5 INEQUALITIES IN TRIANGLES OBJECTIVE: To use inequalities involving angles and sides of triangles.
Geometry Section 4.7 Use Isosceles and Equilateral Triangles.
4.7 Triangle Inequalities. In any triangle… The LARGEST SIDE lies opposite the LARGEST ANGLE. The SMALLEST SIDE lies opposite the SMALLEST ANGLE.
Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.
Draw the following: 1. acute triangle 2.right triangle 3.obtuse triangle 4. acute, scalene triangle 5.obtuse, isosceles triangle 6. right, scalene.
6.4 Triangle Inequalities. Angle and Side Inequalities Sketch a good size triangle in your notebook (about a third of the page). Using a ruler find.
1 Triangle Inequalities. 2 Triangle Inequality The smallest side is across from the smallest angle. The largest angle is across from the largest side.
Triangle Inequality Theorems Sec 5.5 Goals: To determine the longest side and the largest angle of a triangle To use triangle inequality theorems.
Honors Geometry Section 4.8 Triangle Inequalities.
Introduction to Triangles. Triangles Can be classified by the angle measures.
Integrated Math 3 Section 5-5 Inequalities for One Triangle.
4-6 Isosceles & Equilateral Triangles Objectives: The student should be able to: 1. Use properties of Isosceles triangles. 2. Use properties of Equilateral.
1 4-5 Isosceles and Equilateral Triangles State and apply the Isosceles Triangle Theorem and its converse State and apply the corollaries for equilateral.
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?
Triangle and Angle Relationships Review 10 Questions.
Triangles Review. Can you identify the type of triangles in each of the following photos? Classify each triangle by sides and angles.
TODAY IN GEOMETRY… Learning Target: 5.5 You will find possible lengths for a triangle Independent Practice ALL HW due Today!
Section 5-5 Inequalities in Triangles SPI 22C: apply the Triangle Inequality Property to determine which sets of side lengths determine a triangle SPI.
Geometry 5-5 Inequalities in Triangles Within a triangle: – the biggest side is opposite the biggest angle. – the smallest side is opposite the smallest.
Triangle Inequality Theorem: Can you make a triangle? Yes! 1.
Triangle Inequalities. Triangle Inequality #1 Triangle Inequality 1(577031).ggb Triangle Inequality 1(577031).ggb This same relation applies to sides.
Anna Chang T2. Angle-Side Relationships in Triangles The side that is opposite to the smallest angle will be always the shortest side and the side that.
Warm-Up Find the value of x. x x - 3. GEOMETRY 4-8 Isosceles and Equilateral Triangles.
Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem.
Analyzing Isosceles Triangles Chapter 4, Section 6.
© 2016 SlidePlayer.com Inc. All rights reserved.