Open Middle®
Directions: What could the lengths of the legs be such that the lengths of the legs are integers and x is an irrational number between 5 and 7?
Hint
What is a wrong answer? How can you use this wrong answer to move towards an answer?
What does it mean to be irrational between 5 and 7?
Answer
Here are the lengths of the legs
1 and 5,
1 and 6,
3 and 4,
3 and 5,
3 and 6,
4 and 4,
4 and 5,
2 and 5,
2 and 6
1 and 5,
1 and 6,
3 and 4,
3 and 5,
3 and 6,
4 and 4,
4 and 5,
2 and 5,
2 and 6
Source: Daniel Luevanos
What about 1 and 6 or 1 and 5
Good catch, Rachel. Those could work too!
NO ONE CARES
Should 3 and 4 be in the answer key? This would provide a rational number (5), but the question asks for an irrational number between 5 and 7.
I agree, I don’t believe 3 & 4 should be in the answer key.
Leg 1: 2
Leg 2: 6