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# Triangle Inequality Theorem

By: Abby Lehman, Sydney Gomez & Jarrett Zirkle

by

Tweet## Abby Lehman

on 6 January 2013#### Transcript of Triangle Inequality Theorem

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.

Full transcriptScalene 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.