Open Middle®
Directions: Using the integers 1 to 10, at most one time each (though 7 and 9 can still be used), place an integer in each box 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.