Final answer:
The diagram is incorrect because it doesn't satisfy the triangle inequality theorem.
Step-by-step explanation:
The correct answer is (c) It doesn't satisfy the triangle inequality theorem.
The Triangle Inequality Theorem 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 the diagram shown, the sum of the lengths of the two shorter sides is not greater than the length of the longest side, violating the Triangle Inequality Theorem.
For example, if the lengths of the sides are labeled a, b, and c, the theorem would require that a + b > c, a + c > b, and b + c > a.