Home > Grade 7 > Geometry > The Triangle Inequality

The Triangle Inequality

Directions: Use the integers 1 through 10, at most one time each (7 and 9 can still be used)to complete the scenarios below:

Hint

Hint

What is the relationship between the sides of all right triangles?

What is the relationship between the sides of ANY triangle?

Answer

Answer

9,7,1
3,4,5
9,7,2
6,8,10

Source: Shaun Errichiello

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5 comments

  1. I like the activity, however, it says “without repeating any number” and 7 and 9 are both repeated.

  2. Hi,

    This says “digits” 1-10 instead of “numbers” 1-10.

  3. Hi,

    Nice activity…however should this be an 8th grade activity instead? Do the students need Pythagorean Thm for scenarios 2 & 4?

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