7th Grade Triangle Inequality Quizzes, Questions & Answers

7th Grade

Top Trending Triangle Inequality Quizzes

Triangle Inequality: Basics and Validity Checks

Are you ready to explore how triangles really work? In this quiz, you’ll learn the simple rule that decides whether three sides can form a triangle. You’ll test different sets of side lengths, spot impossible...

Questions: 20 | Attempts: 35 | Last updated: Jan 16, 2026

Sample Question 1
Which of the following sets of side lengths can form a triangle?

2, 3, 6

10, 3, 14

7, 2, 9

4, 5, 8

Sample Question 2
If two sides of a triangle are 7 and 10, which of the following could be the third side?

3

12

17

18

Triangle Inequality in Real Situations

Are you ready to see how the triangle inequality connects to real-life situations? In this quiz, you’ll solve problems about gardens, ropes, beams, and even parks to decide if certain side lengths can form a...

Questions: 20 | Attempts: 16 | Last updated: Jan 16, 2026

Sample Question 1
Maria wants to build a triangular garden with side lengths 8 ft, 12 ft, and 5 ft. Will these dimensions work?

Yes, because 8 + 5 > 12

No, because 8 + 5 = 12

Yes, because 12 + 5 < 8

No, because 8 + 12 < 5

Sample Question 2
A rope is cut into three pieces measuring 4 m, 9 m, and 13 m. Can these form a triangle?

Yes, because all sums are greater than the third side:

No, because 4 + 9 = 13:

No, because 9 + 13 < 4:

Yes, because 4 + 13 > 9:

Recent Triangle Inequality Quizzes

Mixed Applications of the Triangle Inequality

Want to see how one simple rule can solve many triangle questions? This quiz will challenge you with all kinds of problems — from checking if three sides can fit together, to finding ranges, to identifying special...

Questions: 20 | Attempts: 14 | Last updated: Jan 16, 2026

Sample Question
Which of these sets can form a triangle?

2, 3, 6

4, 7, 12

5, 9, 13

8, 10, 194

Third Side Ranges and Edge Cases

Get ready to discover how knowing just two sides of a triangle can tell you the range of the third! In this quiz, you’ll practice finding possible side lengths, ruling out impossible cases, and even classifying...

Questions: 20 | Attempts: 11 | Last updated: Jan 16, 2026

Sample Question
A triangle has sides 8 and 5. Which of the following could be the third side?

14

12

20

2

Triangle Inequality Trivia Quiz

Triangle inequality is a law of triangles which states that, for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side. What else do you know about...

Questions: 10 | Attempts: 538 | Last updated: Oct 15, 2025

Sample Question
Triangle inequality is a theorem about which of the following?

Distance

Trigonometric values

Triangle properties

Heights