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Write three lengths that cannot be the lengths of the three sides of a triangle. Explain your answer

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As you can see in the picture below, it's not possible to create a triangle that has side lengths of 4, 8, and 3

triangle inequality theorem, impossible triangle
It turns out that there are some rules about the side lengths of triangles. You can't just make up 3 random numbers and have a triangle! You could end up with 3 lines like those pictured above that cannot be connected to form a triangle.



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