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.

Q: The hypotenuse of an isosceles triangle has endpoints (4, 3) and (9, 8). What is the length of one of the legs of the triangle?
(A)3 (B)5 (C)7 (D)9 (E)11

A: B
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Q: In a certain polygon, all of the angles are equal and all of the sides are of equal length. Point Q is a vertex of the polygon. If four diagonals can be drawn from point Q to the other vertices of the polygon, how many sides does the polygon have?
(A)Eight (B)Seven (C)Six (D)Five (E)Four

A: B
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Q: Two sides of a right triangle are 5 and 6. Which of the following could be the length of the third side? I. \(\sqrt { 11 } \) II. \(\sqrt { 31 } \) III. \(\sqrt { 61 } \)
(A)I only (B)III only (C)I and II only (D)I and III only (E)I, II, and III

A:
D
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