You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.
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Question: If the length of one side of a triangle is 6 and the length of another side is 2, which of the following CANNOT be the length of the third side of the triangle?
(A)5 (B)6 (C)7 (D)7.5 (E)8

Answer: E


Question: What is the length of each of the five equal sides of a regular pentagon if the perimeter of the pentagon is equal to the perimeter of a square whose area is 25?
(A)4 (B)5 (C)10 (D)20 (E)25

Answer: A


Question: If a, b, and x are positive integers and \(\triangle(a,x,b)\) is defined as the number of possible different triangles with sides of lengths a, b, and x, what is the value of \(\triangle(2,x,7)\)?
(A)2 (B)3 (C)4 (D)5 (E)6

Answer:
B


