Open Middle®
Directions: The three triangles on the line are similar. Using the digits 0 to 9, at most one time each, place a digit in each box for the legs of the right triangles.
Hint
What is true about the sides of similar triangles?
What are some ratios that are equal?
What are some ratios that are equal?
Answer
Bottom Triangle (left to right) –> 3,4
Middle Triangle (left to right)–> 12,9
Top Triangle (left to right) –> 6,8
The ratios (slopes) are 4/3=12/9=8/6
Middle Triangle (left to right)–> 12,9
Top Triangle (left to right) –> 6,8
The ratios (slopes) are 4/3=12/9=8/6
Bottom Triangle (left to right) –> 2,4
Middle Triangle (left to right)–> 10,5
Top Triangle (left to right) –> 3/6
The ratios (slopes) are 4/2=10/5=6/3
Source: Jay Sydow
1st Triangle
Vertical:8
Horizontal:6
2nd Triangle
Vertical:12
Horizontal:9
3rd Triangle
Vertical:4
Horizontal:3
another answer: 8/4, 10/5, 6/3
the smallest one i did 1 and 3 then the middle height triangle would be 2 and 6 then teh one in the middle the largest is 4 and 12