1. Triangle Basics Lesson 2
Triangle Inequality

2. Triangle Inequality – Notes
smaller
add up
greater
third

3. Triangle Inequality – Notes
Minimum: Side – Side
Maximum: Side + Side

4. Class Example 1 𝟒+𝟔=𝟏𝟎 𝟏𝟎>𝟏𝟎 𝟒+𝟖=𝟏𝟐 𝟏𝟐>𝟏𝟎 𝟒+𝟏𝟎=𝟏𝟒 𝟏𝟒>𝟏𝟒
𝟏𝟒>𝟏𝟔

5. Class Example 2
𝟐+𝟐=𝟒
𝟒>𝟏𝟐
𝟏𝟐+𝟏𝟐=𝟐𝟒
𝟐𝟒>𝟐 12

6. Substitute the values in for x
Class Example 3
16, 16, 7
𝟐𝟑>𝟏𝟔
𝟒𝟏>𝟐𝟔
26, 22, 19
𝟏𝟐>𝟏𝟑
11, 13, 1
46, 34, 43
𝟕𝟕>𝟒𝟔

7. Student Example 1
𝟔+𝟗=𝟏𝟓
𝟏𝟓>𝟐𝟏 No

8. Student Example 2 Minimum: Side – Side Maximum: Side + Side 𝟓𝟏−𝟑𝟎=𝟐𝟏
𝟓𝟏+𝟑𝟎=𝟓𝟏
𝟐𝟏<𝒙<𝟓𝟏

9. Student Example 3 Minimum: Side – Side Maximum: Side + Side 𝟏𝟏−𝟒=𝟕
𝟏𝟏+𝟒=𝟏𝟓
𝟕<𝒙<𝟏𝟓