Constructing Triangles Worksheets - Math Monks - Free Printable

- Verify if the given side lengths satisfy the triangle inequality theorem (the sum of any two sides must be greater than the third side).
- For each set of sides, check: a + b > c, a + c > b, and b + c > a.
- If all three inequalities hold, a triangle can be constructed; otherwise, it cannot.
- Use a ruler and compass to construct the triangle by drawing one side, then using arcs from the endpoints with radii equal to the other two sides to find the third vertex.
- All given sets of side lengths satisfy the triangle inequality, so all eight triangles can be constructed.