Can the sides of a triangle have lengths 4, 8, and 10?

1 answer

No, the sides of a triangle with lengths 4, 8, and 10 do not satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 4 + 8 = 12, which is not greater than 10, violating the theorem.