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Updated on: 17 Jul 2016, 09:06
Originally posted by Mbawarrior01 on 17 Jul 2016, 08:46.
Last edited by Bunuel on 17 Jul 2016, 09:06, edited 1 time in total.
Last edited by Bunuel on 17 Jul 2016, 09:06, edited 1 time in total.
Edited the question.
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
58% (01:31) correct
42%
(01:38)
wrong
based on 201
sessions
History
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Time
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Is the perimeter of triangle T greater than the perimeter of square S?
(1) The length of the longest side of T is twice the length of a side of S.
(2) T is isosceles.
(1) The length of the longest side of T is twice the length of a side of S.
(2) T is isosceles.
Source : Jeff Sackmann
17 Jul 2016, 09:05
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Is the perimeter of triangle T greater than the perimeter of square S?
Say the lengths of the sides of the triangle are a, b and c (where \(a \geq b \geq c\)) and the length of a side of the square is x. So, the question asks whether a + b + c > 4x.
(1) The length of the longest side of T is twice the length of a side of S --> a = 2x. The question becomes is a + b + c > 2a --> is b + c > a. We know that the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides. According to this property we know that b + c > a must be true. Sufficient.
(2) T is isosceles. We know nothing about the square. Not sufficient.
Answer: A.
Say the lengths of the sides of the triangle are a, b and c (where \(a \geq b \geq c\)) and the length of a side of the square is x. So, the question asks whether a + b + c > 4x.
(1) The length of the longest side of T is twice the length of a side of S --> a = 2x. The question becomes is a + b + c > 2a --> is b + c > a. We know that the length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides. According to this property we know that b + c > a must be true. Sufficient.
(2) T is isosceles. We know nothing about the square. Not sufficient.
Answer: A.
General Discussion
17 Jul 2016, 09:06
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Bunuel
Similar question to practice: is-the-perimeter-of-triangle-t-greater-than-the-perimeter-of-96639.html
