Can it be constructed? The task poses the question whether it is possible to have an equilateral triangle with its vertices located at integer coordinates. Pupils work with their knowledge of trigonometric ratios and the Pythagorean Theorem to determine whether they can build it.

Concepts

coordinate geometry, equilateral, equilateral triangles, pythagorean theorem, coordinate plane, integers, tangent, triangles, cosine, sine

Show More Show Less

Additional Tags

math

Show More Show Less

Instructional Ideas

• Create groups from the class members that attach the problem similarly to share
• Determine where the points B and C would be if A was at the origin

Classroom Considerations

• It is beneficial if the class understands how to determine the trigonometric ratios for a 60-degree angle

Pros

• Includes multiple solutions in the answer key
• Answer key has links to other tasks that incorporate the same standards

Cons

• None

Common Core

HSN-RN.B.3 HSF-TF.C.9 HSG-GPE.B.4 HSG-GPE.B.5 HSG-GPE.B.6 HSG-GPE.B.7