Triangle

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  1. zed963's Avatar
    • Overlord in Training
    • Posts: 2,134
    Triangle
    XYZ is a right angle triangle.

    XY=8 cm
    XZ=6 cm
    ZY=10 cm
    Angle x = 90 degrees

    What is the length of the perpendicular distance of x from ZY

    How do I work this question out.

    Do I use COS SIN TAN or something.
  2. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Triangle
    (Original post by zed963)
    XYZ is a right angle triangle.

    XY=8 cm
    XZ=6 cm
    ZY=10 cm
    Angle x = 90 degrees

    What is the length of the perpendicular distance of x from ZY

    How do I work this question out.

    Do I use COS SIN TAN or something.
    Yeah you can use sohcahtoa

    Specifically that sin(theta) = opp/hyp

    Figure out what sin(theta) is for either angle. Now draw in the perpindicular and you should have a new right angled triangle containing theta, which will give you sin(theta) = L/something (where L is the perpendicular distance you're looking for.

    Alternatively you can use simultaneous equations, area of triangles and probably more methods. You can ask me about those if you'd like, too.
    Last edited by Intriguing Alias; 27-05-2012 at 17:14.
  3. steve2005's Avatar
    • TSR Demigod
    • Location: LONDON
    Re: Triangle
    (Original post by hassi94)
    Yeah you can use sohcahtoa

    Specifically that sin(theta) = opp/hyp

    Figure out what sin(theta) is for either angle. Now draw in the perpindicular and you should have a new right angled triangle containing theta, which will give you sin(theta) = L/something (where L is the perpendicular distance you're looking for.

    Alternatively you can use simultaneous equations, area of triangles and probably more methods. You can ask me about those if you'd like, too.
    I would equate area. http://www.waldomaths.com/TriArea1NL.jsp
    Last edited by steve2005; 27-05-2012 at 17:26.
  4. Intriguing Alias's Avatar
    • TSR Idol
    • Location: Yorkshire
    Re: Triangle
    (Original post by steve2005)
    I would equate area. http://www.waldomaths.com/TriArea1NL.jsp
    Yeah as I said there are a fair few methods to tackle this question
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