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How do I solve problems involving similar triangles?

By Henry Warren on the 11th of June, 2012

11 Answers

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    Similar Triangles

     

    If the angles of one triangle are equal to the angles of another triangle, then the triangles are said to be equiangular.

     

    Equiangular triangles have the same shape but may have different sizes.  So, equiangular triangles are also called similar triangles.

     

    For example, triangle DEF is similar to triangle ABC as their three angles are equal.

     

     

     

     

    The length of each side in triangle DEF is multiplied by the same number, 3, to give the sides of triangle ABC.

     

     

     

     

     

    In general:

     

    If two triangles are similar, then the corresponding sides are in the same ratio.

     

     

     

    Example

     

    Find the value of x in the following pair of triangles.

     

     

     

                        

     

    Solution:

     

     

     

     

     

    Note:

     

    Equal angles are marked in the same way in diagrams.

     

     

     

    Example

     

    Find the value of the pronumeral in the following diagram.

     

     

     

    Solution:

     

     

     

     

    Solution:

     

     

     

     

     

    Refine By brindhamadhu on the 19th of January, 2013

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    Refine By sheeraz on the 16th of April, 2018

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