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Math Help - Theorems about Special Segments in Triangles

  1. #1
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    Theorems about Special Segments in Triangles

    I need explaining my teacher can't explain good, she keeps putting me back. And using hard methods.To the dude that answer my first question, thanks for explaining it i can understand the other sums better


    Refer to the figure below to find the measure.

    Given:
    If CR = 3, RA = 5, and CS = 4, find SB




    Refer to the figure below to find the measure.

    Given:
    If CR = 4, RA = 6, and RS = 10, find AB


    In the figure below, the segment is parallel to one side of the triangle. Find the values of x and y .

    x = y =



    In the figure below, the segment is parallel to one side of the triangle. Find the values of x and y .

    x = y =
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: Theorems about Special Segments in Triangles

    Quote Originally Posted by zokura View Post
    I need explaining my teacher can't explain good, she keeps putting me back. And using hard methods.To the dude that answer my first question, thanks for explaining it i can understand the other sums better


    Refer to the figure below to find the measure.

    Given:
    If CR = 3, RA = 5, and CS = 4, find SB


    Refer to the figure below to find the measure.

    Given:
    If CR = 4, RA = 6, and RS = 10, find AB


    In the figure below, the segment is parallel to one side of the triangle. Find the values of x and y .

    x = y =



    In the figure below, the segment is parallel to one side of the triangle. Find the values of x and y .

    x = y =



    Read here:

    Intercept theorem - Wikipedia, the free encyclopedia
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  3. #3
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    Re: Theorems about Special Segments in Triangles

    Thank you. Could you explain one the segment is parallel to one side of the triangle. Find the values of x and y . Just one please.
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  4. #4
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    Re: Theorems about Special Segments in Triangles

    Hi zokura,
    Look at your last question.You have a small triangle 12,15,10 and alarger similar triangle some factor larger. The factor is 45/15 =3 so the sides are 36,45,20.


    bjh
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    Re: Theorems about Special Segments in Triangles

    Quote Originally Posted by bjhopper View Post
    Hi zokura,
    Look at your last question.You have a small triangle 12,15,10 and alarger similar triangle some factor larger. The factor is 45/15 =3 so the sides are 36,45,20.


    bjh
    Your answer didn't work hun, you can't explain anymore for me?
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  6. #6
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    Re: Theorems about Special Segments in Triangles

    Hi zokura,
    There was a typo in my answer. 3* 10 =30 not 20 and x = 2* 10 =20 or 30-10 = 20
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    MHF Contributor Siron's Avatar
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    Re: Theorems about Special Segments in Triangles

    Quote Originally Posted by zokura View Post
    In the figure below, the segment is parallel to one side of the triangle. Find the values of x and y .

    x = y =
    Use the fact that:
    \frac{9}{6}=\frac{x}{8}
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