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Math Help - find length of hypotenuse

  1. #1
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    Question find length of hypotenuse

    how can i find the length of the hypotenuse in the attached image assuming i know the length of side a + all 3 angles?

    also how would i find it if i knew the length of side b + all 3 angles?
    Attached Thumbnails Attached Thumbnails find length of hypotenuse-rt.jpg  
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  2. #2
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    Quote Originally Posted by .paul. View Post
    how can i find the length of the hypotenuse in the attached image assuming i know the length of side a + all 3 angles?

    also how would i find it if i knew the length of side b + all 3 angles?
     a = \cos (30deg) \times c

     b = \sin (30deg) \times c

    and

     \frac{a}{\sin (30deg)} = c



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  3. #3
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    formula

    Quote Originally Posted by aidan View Post
     a = \cos (30deg) \times c

     b = \sin (30deg) \times c

    and

     \frac{a}{\sin (30deg)} = c

    that nearly works. heres a clearer image of what i'm trying to do. the first red line is at the 12 o'clock position. the second red line is supposed to be from the centre to the 1'oclock position ending at the 2nd rectangle

    heres the calculations i'm using:

    '351,151 - centre
    '10 + sf.Height - 2nd rectangle top
    '30 degrees - 1 o'clock
    Dim a As Single = (151 - (10 + sf.Height))
    Dim lX2 As Single = 351 + Math.Sin(Math.PI * 30 / 180) * (a / Math.Sin(30))
    Dim lY2 As Single = 151 - Math.Cos(Math.PI * 30 / 180) * (a / Math.Sin(30))
    Attached Thumbnails Attached Thumbnails find length of hypotenuse-rc.jpg  
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  4. #4
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    Smile

    Quote Originally Posted by .paul. View Post
    how can i find the length of the hypotenuse in the attached image assuming i know the length of side a + all 3 angles?

    also how would i find it if i knew the length of side b + all 3 angles?

    to find c ---use - cos30= 107/c
    c = 107/cos30
    c = 123.6


    you can usee - cosx= adjecent side/ hypotenuse
    sinx = oposite side/ hypotenuse
    then rearrange the eqation to find hypotenuse

    you can also find it if you have side b and any 2 angles exept the right angle which is 90deg by using thos formula ===sin30 = b/c
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