Triangle Inequality Theorem

Triangle Inequality Theorem

Sides of a triangle

• 3+4>5, 3+5>4, 5+4>3

• The sum of the shorter sides needs to be greater than the larger side.

• 3 + 4 < 9

Not a triangle

• 1 + 2 = 3

• Is not greater than 3

• Cannot form a triangle

Triangle

• 7, 13, 18

• Forms a triangle

• 7 + 13 = 20

• 20 > 18

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 8, 10

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 4, 16, 19

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 11, 20

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 15, 26

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 12, 20

• Yes

• No

Multiple Choice

Determine if the 3 numbers can be measures of the sides of a triangle. 6, 14, 21

• Yes

• No