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In the figure above, what is the value of X? (See attached

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Manager
Joined: 13 Dec 2005
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In the figure above, what is the value of X? (See attached [#permalink]

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02 Jan 2006, 16:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the figure above, what is the value of X? (See attached file for image)

A) 55
B) 60
C) 65
D) 70
E) 75
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shape.png [ 10.5 KiB | Viewed 1291 times ]

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Senior Manager
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02 Jan 2006, 18:39
x = 70

the 2 right Tirangles resolve to sides of side 5 making it an isocles triange.

x = 180 - 55*2 = 70

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Manager
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02 Jan 2006, 20:08
Thanks for your replies. It seems I didn't get the memo on the whole 3:4:5 5:12:13 triangle subject. Does it matter which sides have the 3 the 4 or the 5 or as long as you see 2 of the the three and a ninety degree angle can you assume it is a 3:4:5 triangle?

Thanks,
Jim

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Director
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03 Jan 2006, 07:29
ellisje22 wrote:
Thanks for your replies. It seems I didn't get the memo on the whole 3:4:5 5:12:13 triangle subject. Does it matter which sides have the 3 the 4 or the 5 or as long as you see 2 of the the three and a ninety degree angle can you assume it is a 3:4:5 triangle?

Thanks,
Jim

Yes it matters which side have the 3 the 4 or the 5 or as long as you see 2 of the the three and a ninety degree angle can you assume it is a 3:4:5 triangle?the if two shorter side have lenghts 3 and 4 the other ll be 5
but if you have one short leg 3 and other short leg 5 the third leg(the longest one)won't be 4))

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Director
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03 Jan 2006, 23:13
Simple one..Its 180-2*55(an isosceles triangle)=70

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VP
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09 Jan 2006, 00:47
5:12:13 and 3:4:5 makes the two sides of the interior triangle as 5. The opposite angles are 55 and the x = 180 - ( 55*2) = 70.

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Manager
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10 Jan 2006, 01:47
You could also solve the sides of the triangles using X^2=Y^2+Z^2 and get 5 as a side for the 5:12:13 Triangle.

ellisje22 wrote:
Thanks for your replies. It seems I didn't get the memo on the whole 3:4:5 5:12:13 triangle subject. Does it matter which sides have the 3 the 4 or the 5 or as long as you see 2 of the the three and a ninety degree angle can you assume it is a 3:4:5 triangle?

Thanks,
Jim

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Current Student
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10 Jan 2006, 03:58
Memorize the special GMAT triangles. Especially 3-4-5 and 5-12-13. That is exactly what this problem is testing. If you have to use the p-theorem, then you have made a mistake somewhere.

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Manager
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10 Jan 2006, 09:44
Can some one please explain these rules? 3-4-5 5-12-13???

Thanks!

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10 Jan 2006, 09:44
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