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16 Dec 2014, 05:58
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D
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Difficulty:
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89% (00:28) correct
11%
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In the figure above, what is the length of segment BC ?
(1) x = 90
(2) The perimeter of △ABC is 24.
Attachment:
2014-12-16_1657.png [ 2.78 KiB | Viewed 8502 times ]
16 Dec 2014, 08:59
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statement 1: sufficient
Knowing that this is a right triangle, we know that 8^2 + 6^2 = x^2 where x is the hypotenuse, or BC. Therefore, BC=10.
statement 2: sufficient
If perimeter is 24, then BC=24-6-8=10
Answer D!
Knowing that this is a right triangle, we know that 8^2 + 6^2 = x^2 where x is the hypotenuse, or BC. Therefore, BC=10.
statement 2: sufficient
If perimeter is 24, then BC=24-6-8=10
Answer D!
16 Dec 2014, 22:24
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Bunuel
Tough and Tricky questions: Geometry.
In the figure above, what is the length of segment BC ?
(1) x = 90
(2) The perimeter of △ABC is 24.
Kudos for a correct solution.
Attachment:
2014-12-16_1657.png
1) if x = 90 then the triangle is rectangular triangle then BC^2 = AB ^ 2 + AC ^ 2 => BC ^ 2 = 64+36 = 100 BC = 10 - Sufficient
2) if Perimeter = 24 => (AB+BC+AC) = 24 =>BC = 24 - 6 - 8 = 10 - Sufficient
Ans D
