Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create ordered pairs for all three points, such that the area of Triangle ABC is closest to 6 square units.
A ( ___, ___ )
B ( ___, ___ )
C ( ___, ___ )
Hint
What other shapes that contain triangles might be easier to find the area of?
How might rotating the shape make it easier to avoid duplicating numbers?
How might rotating the shape make it easier to avoid duplicating numbers?
Answer
There are many answers that give including:
A ( 2, 1)
B ( 6, 3)
C ( 4, 5)
A ( 3, 5)
B ( 6, 2)
C ( 4, 0)
A ( 1, 3)
B ( 6, 2)
C ( 4, 0)
This gives an answer of exactly 6 sq. units.
Source: Henry Wadsworth