Triangle Inequality Challenge

Froggy Jumps

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About this activity

Test your knowledge of the Triangle Inequality Theorem with this fun quiz game!

Created by

Manilyn Espinosa

Philippines

Download the paper version to play

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2	tatay_digong PRRD March 17, 2025	% 80	03:04
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Froggy Jumps Triangle Inequality ChallengeOnline version Test your knowledge of the Triangle Inequality Theorem with this fun quiz game! by Manilyn Espinosa 1 What does the Triangle Inequality Theorem state? a The longest side must be equal to the sum of the other two sides. b The sum of the angles in a triangle is always 180 degrees. c The sum of the lengths of any two sides must be greater than the length of the third side. 2 Which of the following is an example of the Triangle Inequality Theorem? a For sides 1, 1, and 1, 1 + 1 = 1. b For sides 2, 2, and 5, 2 + 2 > 5. c For sides 3, 4, and 5, 3 + 4 > 5. 3 If a triangle has sides of lengths 7 and 10, what is the maximum length of the third side? a 16. b 18. c 17. 4 If one side of a triangle is 8 and another is 3, what is the minimum length of the third side? a 6. b 5. c 4. 5 Which inequality must hold true for sides a, b, and c of a triangle? a a + b < c. b a + b > c. c a - b = c. 6 In a triangle with sides 5, 12, and x, what must x be? a x must be less than 17 and greater than 7. b x must be exactly 12. c x must be less than 5. 7 Which of the following sets of lengths can form a triangle? a 5, 6, 11 b 3, 4, 6 c 2, 3, 9 8 Which of the following lengths cannot form a triangle? a 5, 13, 6 b 4, 8, 11 c 1, 2, 4 9 Which of the following sets of lengths can form a triangle? a 2, 2, 5. b 5, 6, 10. c 1, 2, 3. 10 What is the relationship between the sides of a triangle according to the Triangle Inequality Theorem? a The difference of any two sides must be equal to the third side. b The sum of any two sides must be greater than the third side. c The product of any two sides must be greater than the third side.

Froggy Jumps

Triangle Inequality ChallengeOnline version

Test your knowledge of the Triangle Inequality Theorem with this fun quiz game!

by Manilyn Espinosa

What does the Triangle Inequality Theorem state?

The longest side must be equal to the sum of the other two sides.

The sum of the angles in a triangle is always 180 degrees.

The sum of the lengths of any two sides must be greater than the length of the third side.

Which of the following is an example of the Triangle Inequality Theorem?

For sides 1, 1, and 1, 1 + 1 = 1.

For sides 2, 2, and 5, 2 + 2 > 5.

For sides 3, 4, and 5, 3 + 4 > 5.

If a triangle has sides of lengths 7 and 10, what is the maximum length of the third side?

16.

18.

17.

If one side of a triangle is 8 and another is 3, what is the minimum length of the third side?

Which inequality must hold true for sides a, b, and c of a triangle?

a + b < c.

a + b > c.

a - b = c.

In a triangle with sides 5, 12, and x, what must x be?

x must be less than 17 and greater than 7.

x must be exactly 12.

x must be less than 5.

Which of the following sets of lengths can form a triangle?

5, 6, 11

3, 4, 6

2, 3, 9

Which of the following lengths cannot form a triangle?

5, 13, 6

4, 8, 11

1, 2, 4

Which of the following sets of lengths can form a triangle?

2, 2, 5.

5, 6, 10.

1, 2, 3.

What is the relationship between the sides of a triangle according to the Triangle Inequality Theorem?

The difference of any two sides must be equal to the third side.

The sum of any two sides must be greater than the third side.

The product of any two sides must be greater than the third side.

You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.

Triangle Inequality Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Triangle Inequality ChallengeOnline version

by Manilyn Espinosa

What does the Triangle Inequality Theorem state?

Which of the following is an example of the Triangle Inequality Theorem?

If a triangle has sides of lengths 7 and 10, what is the maximum length of the third side?

If one side of a triangle is 8 and another is 3, what is the minimum length of the third side?

Which inequality must hold true for sides a, b, and c of a triangle?

In a triangle with sides 5, 12, and x, what must x be?

Which of the following sets of lengths can form a triangle?

Which of the following lengths cannot form a triangle?

Which of the following sets of lengths can form a triangle?

What is the relationship between the sides of a triangle according to the Triangle Inequality Theorem?

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