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Finding the Unknown Length in a Triangle Proportion

This proportion can be solved to find the unknown length, x, in the smaller triangle. Use the drop-down menus to complete the solution below.
12 ← ___ × 6
4 ← ___ × __




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What is the capital of Egypt? ( Cairo )

1 Answer

  1. To solve for the unknown length ( x ) in the proportion, we can use the property of similar triangles where the ratios of corresponding sides are equal.

    The proportion you have is set up as follows:

    [

    frac{12}{4} = frac{x}{6}

    ]

    Now fill in the blanks:

    – The first blank is ( 12 ) (as that corresponds to the larger triangle).

    – The second blank is ( 4 ) (as that corresponds to the smaller triangle).

    – The third blank is ( x ) (the unknown length we are solving for).

    Now we can set up the equation:

    [

    frac{12}{4} = frac{x}{6}

    ]

    To solve for ( x ), we can cross-multiply:

    [

    12 times 6 = 4 times x

    ]

    [

    72 = 4x

    ]

    Now divide both sides by 4:

    [

    x = frac{72}{4} = 18

    ]

    So, the solution completes with ( x = 18 ). To summarize:

    – ( 12 leftarrow 12 times 6 )

    – ( 4 leftarrow 4 times x )

    This gives you the complete answer to the problem! If you have more questions or need further help, feel free to ask.

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