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    Area & Similar Triangles

    Ratio of areas of similar triangles

      To find the ratio of the areas of similar triangles, just square the similarity ratio.
      The ratio of the perimeters on the other hand equals the similarity ratio.

      Why area's ratio is the similarity's squared  



    The similarity ratio from triangle #1 to #2 is ½.
    We can use the formula for the area of a triangle to find that
      Area of Triangle #1 = ½(12 • 4) = 24
      Area of Triangle #2 = ½(24 • 8) = 96
    As you can see from our knowledge of the formula of area, the ratio of the areas is ratio of areas


    Related: What are Similar Triangles | Theorems proving Similar Triangles| geometric mean | Side Splitter Theorem | Angle Bisector Theorem |Area & Similarity

     Answer 

    Similarity Ratio Area Ratio
    3/1
    3/4
    49 / 81
    Find the similarity ratio, the ratio of the areas, and the ratio of the perimeters.

     Answer 


    Area and Similarity Ratio

    Find the similarity ratio, areas' ratio, and perimeters' ratio.

     Answer 

    Problem on similarity, area and perimeter

    Related: What are Similar Triangles | Theorems proving Similar Triangles| geometric mean | Side Splitter Theorem | Angle Bisector Theorem |Area & Similarity
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