Quiz about Geometry Triangle Inequality Theorem

Question 1

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

Accepted Answer

greater than

Answer

less than

Answer

equal to

Question 2

The Triangle Inequality Theorem deals with _______ of a triangle

Accepted Answer

sides

Answer

angles

Question 3

Does a triangle with these side lengths exist?
15, 12, 9

Accepted Answer

Yes

Answer

No

Answer

I don't know.

Question 4

Does a triangle with these side lengths exist?
33, 16, 17

Accepted Answer

No

Answer

Yes

Answer

I don't know.

Question 5

Does a triangle with these side lengths exist?
20, 10, 9

Accepted Answer

No

Answer

Yes

Answer

I don't know.

Question 6

Does a triangle with these side lengths exist?
8.5, 6.5, 13.5

Accepted Answer

Yes

Answer

No

Answer

I don't know.

Question 7

Does a triangle with these side lengths exist?
47, 28, 70

Accepted Answer

Yes

Answer

No

Answer

I don't know.

Question 8

Does a triangle with these side lengths exist?
28, 41, 13

Accepted Answer

No

Answer

Yes

Answer

I don't know.

Question 9

Does a triangle with these side lengths exist?
5, 10, 15

Accepted Answer

No

Answer

Yes

Answer

I don't know.

Question 10

Does a triangle with these side lengths exist?
9, 40, 41

Accepted Answer

Yes

Answer

No

Answer

I don't know.

Question 11

Which of the following does not represent the lengths of the sides of a triangle?

Accepted Answer

3 cm, 10 cm, 15 cm

Answer

2 cm, 6 cm, 7 cm

Answer

5 cm, 2 cm, 5 cm

Answer

5 cm, 5 cm, 8 cm

Question 12

Select the measurements that match the sides of a triangle.

Accepted Answer

7, 7, 7

Answer

7, 9, 19

Answer

7, 12, 1

Answer

7, 7, 16

Question 13

The longest side of a triangle would be located where on a triangle?

Accepted Answer

Across from the largest angle

Answer

Across from the smallest angle

Answer

Cannot tell.

Answer

Adjacent to the smallest side.

Question 14

The smallest angle would be located where in a triangle?

Accepted Answer

Across from the smallest side.

Answer

Across from the largest side

Answer

Cannot tell

Question 15

Where would the shortest side of a triangle be located?

Accepted Answer

Across from the smallest angle in the triangle.

Answer

Across from the largest angle in the triangle?

Answer

Cannot tell.

Question 16

Where would the largest angle of a triangle be located?

Accepted Answer

Across from the longest side.

Answer

Across from the shortest side

Answer

I need more information to get an answer.

Question 17

Two of the smaller sides of a triangle are 8 feet and 11 feet.  Which of the following could be the smallest possible length of the third side?

Accepted Answer

20 feet

Answer

18 feet

Answer

19 feet

Answer

21 feet

Question 18

1

Accepted Answer

x is shorter than 22

Answer

x is longer than 22

Answer

x is shorter than 8

Answer

x is 15

Question 19

2

Accepted Answer

x is longer than 8

Answer

x is shorter than 8

Answer

x is longer than 56

Answer

x is 20

Question 20

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

Accepted Answer

5 < x < 29

Answer

12 < x < 17

Answer

12 < x < 29

Answer

5 < x < 17

Geometry Triangle Inequality Theorem

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