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Finding the Unknown Length in a Proportional Triangle Similarity Problem

This proportion can be solved to find the unknown length, x, in the smaller triangle.

12 4 = 6 x

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1 Answer

  1. To solve the proportion ( frac{12}{4} = frac{6}{x} ), we can cross-multiply.

    1. Cross-multiply: ( 12 cdot x = 4 cdot 6 ).
    2. This gives us: ( 12x = 24 ).
    3. To find ( x ), divide both sides by 12:

    [

    x = frac{24}{12} = 2.
    ]

    So, ( x = 2 ).

    This solution means that in the smaller triangle, the unknown length ( x ) is 2, maintaining the same ratio as the given sides of the triangles.

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