Teacher: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.
Teacher: Now, understand the problem? Solve this instance: The measures of the three angles of a triangle are in the ratio of 5:5:10, and the length of the longest side is 10. From this information, which of the following can be determined? I. The area of the triangle II. The perimeter of the triangle III. The length of each of the three altitudes
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Student:
E