By:Abby, Sydney, and Jarrett Equilateral Triangle- All sides are congruent

Scalene Triangle- No sides are congruent

Isosceles Triangle- 2 sides are congruent

*In terms of isosceles triangles*

Legs- Congruent sides

Base- Third side What is the Triangle Inequality Theorem? Example Problem Example Check whether it is possible to have a triangle with the given side lengths. Example Check whether the given side lengths form a triangle Example Problem 2 Triangle Inequality Theorem 7,9,13 * Add any 2 sides and see if it is greater than the other side* The sum of 7 and 9 is 16 and 16 is greater than 13.

The sum of 9 and 13 is 21 and 21 is greater than 7.

The sum of 7 and 13 is 20 and 20 is greater than 9.

This set of side lengths not satisfies Triangle Inequality Theorem.

These lengths do form a triangle. 4,8,15 Check whether the sides satisfy the Triangle Inequality Theorem Add any two sides and see if it is greater than the other side

The sum of 4 and 8 is 12 and 12 is less than 15

This set of side lengths doesn't satisfy Triangle Inequality Theorem These lengths don't form a triangle. 5 6 7 Side 1-5

Side 2-6

Side 3-7 1+2>3

2+3>1

1+3>2 Triangle Inequality Theorem is... Does it work? Answer:

5+6>7

6+7>5

5+7>6 Yes, it follows the triangle inequality theorem 4 8 Side 1-4

Side 2-8

Side 3-2 Triangle Inequality Theorem 1+2>3

2+3>1

1+3>2 Does it work? Answer 4+8>2

8+2>4

2+4>8 X No. These measurements don't follow the Triangle Inequality Theorem. All information was gathered off of Google.

### Present Remotely

Send the link below via email or IM

CopyPresent to your audience

Start remote presentation- Invited audience members
**will follow you**as you navigate and present - People invited to a presentation
**do not need a Prezi account** - This link expires
**10 minutes**after you close the presentation - A maximum of
**30 users**can follow your presentation - Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

### Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.

You can change this under Settings & Account at any time.

# Triangle Inequality Theorem

By: Abby Lehman, Sydney Gomez & Jarrett Zirkle

by

Tweet