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Math Help - Homework Help - Solve for "x"

  1. #1
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    Homework Help - Solve for "x"

    Hello - I did my best to post the graphic, assume all lines are parallel. Will you also be able to give an explanation?

    Any help would be greatly appreciated!

    Thank you,
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    Last edited by ncooks; January 21st 2010 at 01:28 PM.
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  2. #2
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    Not that easy to "explain"...I'll try:
    label the 15 by 26 rectangle ABCD clockwise, A top left corner;
    label end of line from D as E, end of line from C as F, so DE = CF = 39;
    draw perpendicular EG, G on CF: so EG = x;
    so we now have right triangles BCF and EGF: these are SIMILAR triangles

    Since similar, then EG/EF = BC/CF : x/15 = 26/39 : x = 10
    Last edited by Wilmer; January 21st 2010 at 05:37 AM. Reason: simplify
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  3. #3
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    Homework- Still a bit confused

    Hello Wilmer -

    Thank you for your help...I labeled the diagram as you requested.

    I am a bit confused about where you are placing "x"

    Perpendicular to EG?

    Thank you,
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    Last edited by ncooks; January 21st 2010 at 01:26 PM. Reason: adding graph
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  4. #4
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    From E, draw line EG with G on CF and EG perpendicular to CF: line EG = x.

    Don't forget that DC = 15 and EF = 15.
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  5. #5
    Senior Member pacman's Avatar
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    it can be solved by analytic geometry . . . .
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