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Math Help - Can someone please draw me this triangle?

  1. #1
    Senior Member Paze's Avatar
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    Can someone please draw me this triangle?

    Problem 5. Let ABC be a triangle with \BCA = 90, and let D be the foot of the altitude from
    C. Let X be a point in the interior of the segment CD. Let K be the point on the segment AX
    such that BK = BC. Similarly, let L be the point on the segment BX such that AL = AC. Let M
    be the point of intersection of AL and BK.
    Show that MK = ML.

    Here's my drawing but I'm not sure if it's right. Also it's a little clumsy.

    I'm having a problem understanding ''D be the foot of the altitude from C''. Am I to draw a angle from C to form D like I do? Because if so, then I find it strange that they word the next paragraph: ''Let X be a point in the interior of the segment CD.'' That doesn't seem to make much sense to call it 'interior' of the segment. It's just segment CD...

    http://i.imgur.com/GGVm3u9.png
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  2. #2
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    Re: Can someone please draw me this triangle?

    Quote Originally Posted by Paze View Post
    I'm having a problem understanding ''D be the foot of the altitude from C''. Am I to draw a angle from C to form D like I do?
    Yes, D lies on AB and angle ADC is 90 degrees.

    Quote Originally Posted by Paze View Post
    Because if so, then I find it strange that they word the next paragraph: ''Let X be a point in the interior of the segment CD.'' That doesn't seem to make much sense to call it 'interior' of the segment. It's just segment CD...
    I think it means that X lies between C and D and is different from C and D.
    Thanks from Paze
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    Senior Member Paze's Avatar
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    Re: Can someone please draw me this triangle?

    Quote Originally Posted by emakarov View Post
    Yes, D lies on AB and angle ADC is 90 degrees.

    I think it means that X lies between C and D and is different from C and D.
    Yes, but I would just say: ''Let X be a point on CD''. A point in the interior of a segment means that a segment has been split up into two or more part and the point would be on the inside of one of these...

    But thank you, your answer is what they must mean.
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    Re: Can someone please draw me this triangle?

    Can someone please draw me this triangle?-21-may-13.png
    Thanks from Paze
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    Senior Member Paze's Avatar
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    Re: Can someone please draw me this triangle?

    Quote Originally Posted by ibdutt View Post
    Click image for larger version. 

Name:	21 May 13.png 
Views:	7 
Size:	17.9 KB 
ID:	28419
    Thank you! What program did you use?
    Last edited by Paze; May 21st 2013 at 01:09 AM.
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    Re: Can someone please draw me this triangle?

    Hello, i work on MS Word. i draw diagrams using insert tab. Enclosing a screen shot for reference.Can someone please draw me this triangle?-untitled.png
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  7. #7
    Senior Member Paze's Avatar
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    Re: Can someone please draw me this triangle?

    Quote Originally Posted by ibdutt View Post
    Hello, i work on MS Word. i draw diagrams using insert tab. Enclosing a screen shot for reference.Click image for larger version. 

Name:	Untitled.png 
Views:	4 
Size:	196.4 KB 
ID:	28442
    Ah, cool. Thank you!
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