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Math Help - Congruent triangles

  1. #1
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    Congruent triangles

    If we have two triangles that share:
    -one side ( for example side b )
    -an angle (for example the angle between side b and c = alpha)
    -a median that goes from the vertex A and ends at the midpoint of line a
    how could we prove those two triangles are congruent???
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  2. #2
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    Feb 2008
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    Quote Originally Posted by snezic View Post
    If we have two triangles that share:
    -one side ( for example side b )
    -an angle (for example the angle between side b and c = alpha)
    -a median that goes from the vertex A and ends at the midpoint of line a
    how could we prove those two triangles are congruent???

    Since you have a median that goes from the vertex to the midpoint of line a, which forms to right angles you can use SAS since line a and b are part of both triangles. That is if I understand how your triangle is set up.
    I picture a big triangle cda with angle a at the vertex of cd, the median going to the midpoint of a, which then means they share side a also and you have two triangles acb and adb. If this is correct then you can use SAS if not, them try to provide a sketch of your triangle. Hope this helps.
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