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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]  02 Jan 2006, 15:53
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
Attachments

shape.png [ 10.5 KiB | Viewed 970 times ]

Senior Manager
Joined: 05 Jan 2005
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x = 70

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

x = 180 - 55*2 = 70
Manager
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Triangles [#permalink]  02 Jan 2006, 19:08
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
Director
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Re: Triangles [#permalink]  03 Jan 2006, 06:29
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))
Director
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Simple one..Its 180-2*55(an isosceles triangle)=70
VP
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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.
Manager
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Re: Triangles [#permalink]  10 Jan 2006, 00:47
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
Current Student
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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.
Manager
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Can some one please explain these rules? 3-4-5 5-12-13???

Thanks!
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