Open Middle®
Directions: Using the digits 1 to 9 at most one time each, fill in the empty blanks so that you create a triangle whose Cos Θ = √2/2: (5, 4), (__,__) and (__,__).
Hint
The cosine is formed by the relationships of what two sides of a triangle?
What unit triangle is needed to create a Cos Θ = √2/2?
What unit triangle is needed to create a Cos Θ = √2/2?
Answer
There are many possible solutions, one is (6,2) and (8,3)
Source: Bryan Anderson
One possible solution is (8,3) and (6,2)