GRE-Math-Questions-to-Know-by-Test-Day-2nd-Edition_pag245

Prévia do material em texto

236 › Answers
442. (C), (D), (E), (F), (G) In a triangle, the sum of the lengths of any two sides must be 
greater than the length of the third side (triangle inequality). The lengths given in (C), (D), 
(E), (F), and (G) satisfy this criterion. The lengths given in (A) and (B) do not.
443. (A), (B), (C), (E) Let x = the length of the third side of the triangle. The perimeter 
is x x10 14 24+ + = + . Of the lengths 10, 14, and x, the longest side is either 14 or x. If the 
longest side is 14, then x10 14+ > , x > 4. If the longest side is x, then x10 14+ > , 24 > x. 
Hence, x4 24 , x > 7. If the longest 
side is x, then x8 15+ > , 23 > x. Hence, x7 23