Triangle Inequality Theorem

Triangle Inequality Theorem

By Adriene Raymond

Drag and Drop

The sum of the lengths of any two sides of a triangle is ​

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the length of the third side.

Drag these tiles and drop them in the correct blank above

greater than

less than

equal to

Dropdown

Determine whether each set of sides could form a triangle.​

Select answer

Dropdown

Determine whether each set of sides could form a triangle.​

Select answer

Categorize

Options (6)

15, 12, 9

23, 16, 7

20, 10, 9

8.5, 6.5, 13.5

47, 28, 70

28, 41, 9

Determine whether or not each trio of side lengths could form a triangle.

Yes!!!!!

Nope. =(

Multiple Choice

To find the range of possible lengths for the third side of a triangle, ...

• add and subtract the given side lengths

• multiply and divide the given side lengths

• there is only one possible length for the third side

Match

Match the following pairs of side lengths with the range of possible lengths for the third side.

• 11 and 20

• 9 and 14

• 10 and 15

• 8 and 15

• 2 and 11

9 < x < 31

5 < x < 23

5 < x < 25

7 < x < 23

9 < x < 13

• 9 < x < 31

• 5 < x < 23

• 5 < x < 25

• 7 < x < 23

• 9 < x < 13

Drag and Drop

Find the range of possible lengths for the third side of a triangle with side lengths 5 and 12.

​

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< x < ​

Placeholder

Drag these tiles and drop them in the correct blank above

7

17

8

5

12

18

16

6