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Area of a Triangle in the Coordinate Plane

Directions: Use the digits 0 to 9, at most one time each, to fill in ordered pairs for all three points, such that the area of Triangle ABC is closest to 6 square units.

A ( ___, ___ )

B ( ___, ___ )

C ( ___, ___ )

Hint

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?

Answer

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

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