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

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

What is the relationship between the sides of ANY triangle?

### Answer

9,7,1

3,4,5

9,7,2

6,8,10

3,4,5

9,7,2

6,8,10

Source: Shaun Errichiello

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

I think that Shaun must mean that any new numbers you add must not be repeated.

Hi,

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

Good call. I’ll tighten up the language.

Hi,

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

9,7,1

3,4,5

9,7,2

6,8,10

I adapted this task for 7th grade to say “The triangles represented by these sides can exist”, since they don’t learn Pythagorean Theorem until 8th grade.