Triangle Inequality Theorem

Triangle Inequality Theorem

Today's Goal

• Students will be able to apply the Triangle Inequality Theorem to identify if 3 values make a triangle.

Multiple Choice

Does a triangle with these side lengths exist?

3,4,5

• Yes

• No

Multiple Choice

Does a triangle with these side lengths exist?

3,5,10

• Yes

• No

Multiple Choice

Does a triangle with these side lengths exists?

5,5,10

• Yes

• No

Multiple Choice

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes

• No

• I don't know

• Cannot be determined

Multiple Choice

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

• yes
• no

Multiple Choice

Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

• I don't know.

• Cannot be determined

Multiple Choice

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

• Yes
• No

Multiple Choice

Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12

• Yes
• No
• I don't know.

Multiple Choice

side lengths of 4,4,4 form a triangle

• True
• False

Multiple Choice

• 5 ft., 8 ft., 15 ft.
• 2 ft., 5 ft., 8 ft.
• 5 ft., 8 ft., 12 ft.

Multiple Choice

Which range could be the measurement of the third side of a triangle if the other two sides were 21cm and 15 cm?

• 7 - 14

• 17-22

• 1-5

• 6-14

Multiple Choice

If a triangle has side lengths of 12 cm and 14 cm, which of the following could be the 3rd side length?

• 27 cm

• 3 cm

• 2 cm

• 30 cm

Multiple Choice

Given the side lengths of 18mm and 10 mm, what measurement could be the length of the third side of a triangle?

• 7mm

• 4mm

• 28mm

• 24mm

Multiple Choice

Jonathan drew a triangle with the side lengths of 8 in and 11 in. Which range could he choose from if the third side of his triangle was the longest side?

• 5-18

• 10 - 18

• 14 - 22

• 12 - 18