Inequalities in Triangles Inequalities in Triangles Triangles have
![Inequalities in Triangles Inequalities in Triangles](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-1.jpg)
![Inequalities in Triangles • Triangles have two important properties: – Property #1: • The Inequalities in Triangles • Triangles have two important properties: – Property #1: • The](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-2.jpg)
![Visuals L⁰ Min Sin 95⁰ 7 in S⁰ M⁰ Lin 9 in 40⁰ 45⁰ Visuals L⁰ Min Sin 95⁰ 7 in S⁰ M⁰ Lin 9 in 40⁰ 45⁰](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-3.jpg)
![Examples • List the sides of the triangle shown in order from least to Examples • List the sides of the triangle shown in order from least to](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-4.jpg)
![More Examples JK, JL, KL XY, YZ, XZ <B, <C, <A QR, PR=PQ More Examples JK, JL, KL XY, YZ, XZ <B, <C, <A QR, PR=PQ](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-5.jpg)
![Property #2: The two smallest sides of a triangle must add up to be Property #2: The two smallest sides of a triangle must add up to be](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-6.jpg)
![Examples • Can the following side measures be made to form a triangle? a. Examples • Can the following side measures be made to form a triangle? a.](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-7.jpg)
![Examples To describe the possible lengths of the third side of a triangle given Examples To describe the possible lengths of the third side of a triangle given](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-8.jpg)
![More Examples 20. 4 ft, 12 ft 8 < x < 16 21. 9 More Examples 20. 4 ft, 12 ft 8 < x < 16 21. 9](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-9.jpg)
![More Examples Is it possible to build a triangle using the given side lengths? More Examples Is it possible to build a triangle using the given side lengths?](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-10.jpg)
![Examples Describe the possible values of x. 2 < 2 x -2 < 12 Examples Describe the possible values of x. 2 < 2 x -2 < 12](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-11.jpg)
- Slides: 11
![Inequalities in Triangles Inequalities in Triangles](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-1.jpg)
Inequalities in Triangles
![Inequalities in Triangles Triangles have two important properties Property 1 The Inequalities in Triangles • Triangles have two important properties: – Property #1: • The](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-2.jpg)
Inequalities in Triangles • Triangles have two important properties: – Property #1: • The smallest angle is across from the smallest side (S for Smallest) • The medium angle is across from the medium side (M for Medium) • The largest angle is across from the largest side (L for Largest)
![Visuals L⁰ Min Sin 95⁰ 7 in S⁰ M⁰ Lin 9 in 40⁰ 45⁰ Visuals L⁰ Min Sin 95⁰ 7 in S⁰ M⁰ Lin 9 in 40⁰ 45⁰](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-3.jpg)
Visuals L⁰ Min Sin 95⁰ 7 in S⁰ M⁰ Lin 9 in 40⁰ 45⁰ 12 in **There is no formula to find the side lengths actual measures – you just compare them!
![Examples List the sides of the triangle shown in order from least to Examples • List the sides of the triangle shown in order from least to](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-4.jpg)
Examples • List the sides of the triangle shown in order from least to greatest. c, a, b
![More Examples JK JL KL XY YZ XZ B C A QR PRPQ More Examples JK, JL, KL XY, YZ, XZ <B, <C, <A QR, PR=PQ](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-5.jpg)
More Examples JK, JL, KL XY, YZ, XZ <B, <C, <A QR, PR=PQ
![Property 2 The two smallest sides of a triangle must add up to be Property #2: The two smallest sides of a triangle must add up to be](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-6.jpg)
Property #2: The two smallest sides of a triangle must add up to be larger than the largest.
![Examples Can the following side measures be made to form a triangle a Examples • Can the following side measures be made to form a triangle? a.](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-7.jpg)
Examples • Can the following side measures be made to form a triangle? a. 6, 9, 13 yes b. 4, 8, 12 no c. 15, 8, 31 no d. 6, 14, 15 yes e. 10, 8 yes f. 4, 2, 5 yes
![Examples To describe the possible lengths of the third side of a triangle given Examples To describe the possible lengths of the third side of a triangle given](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-8.jpg)
Examples To describe the possible lengths of the third side of a triangle given the length of the other two sides: You must write an inequality. There are several solutions! Example: 6 in. , 9 in, 3 15 _____< x < _____ (subtract) (add)
![More Examples 20 4 ft 12 ft 8 x 16 21 9 More Examples 20. 4 ft, 12 ft 8 < x < 16 21. 9](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-9.jpg)
More Examples 20. 4 ft, 12 ft 8 < x < 16 21. 9 m, 18 m 9 < x < 27 22. 21 yd, 16 yd 5 < x < 37 23. 22 in, 2 ft 2 in < x < 46 in 24. 24 in, 1 yd 12 in < x < 60 in
![More Examples Is it possible to build a triangle using the given side lengths More Examples Is it possible to build a triangle using the given side lengths?](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-10.jpg)
More Examples Is it possible to build a triangle using the given side lengths? If so, order the angle measures of the triangle from least to greatest. Yes: <S, <R, <T Yes: <B, <C, <A
![Examples Describe the possible values of x 2 2 x 2 12 Examples Describe the possible values of x. 2 < 2 x -2 < 12](https://slidetodoc.com/presentation_image_h2/287d5d8859f7f7f288d8bf13c0641586/image-11.jpg)
Examples Describe the possible values of x. 2 < 2 x -2 < 12 4 < 2 x < 14 2<x<7 10 < 4 x + 2 < 26 8 < 4 x < 24 2<x<6
It has 5 faces 8 edges 5 vertices
5-7 inequalities in two triangles
Lesson 5-6 inequalities in two triangles
5-6 inequalities involving two triangles
5-6 inequalities in two triangles answer key
5-6 inequalities in two triangles
Inequalities in two triangles
5-5 inequalities in triangles
Lesson 5-5 inequalities in triangles
5-6 inequalities in two triangles
5-3 skills practice inequalities in one triangle
Lesson 5-6 inequalities in two triangles answer key