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When triangles are similar, ratio of corresponding sides is equal.

  1. Jul 26, 2013 #1
    "When triangles are similar, ratio of corresponding sides is equal."

    "When triangles are similar, ratio of corresponding sides is equal."

    I was wondering if there is any theoretical proof for this statement or is it only experimental?
     
  2. jcsd
  3. Jul 26, 2013 #2
    It's definition..
     
  4. Jul 27, 2013 #3
    The definition of similar triangles is the three corresponding angles have the same measure. The ratio of the sides being equal can be proven by drawing a line parallel to the base of a triangle(creating 2 similar triangles sharing one angle), and showing that the sides are proportional and the angles are the same via the parallel postulate.
     
  5. Jul 27, 2013 #4

    SteamKing

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    Haven't you taken Experimental Geometry yet?
     
  6. Jul 27, 2013 #5

    mathman

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    You can also use the law of sines.
     
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