Official Guide Explanation:
Data Sufficiency #65

 

 

Background

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Solution and Metadata

Question: 65
Page: 157
Difficulty: 3 (Very Easy)
Category 1: Geometry > Triangles > Length of sides

Explanation: Statement (1) is insufficient: if you only know the length of one side of a triangle, you must know the ratio of the sides or the measures of the angles to determine the length of another sides. Statement (2) is insufficient for the same reason.

Taken together, the statements are still insufficient. Knowing the lengths of two sides of a triangle gives a range of possible values for the third side, but without any other information about the triangle, they are not enough to find an exact length. Choice (E) is correct.

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