• Choice E
    Length  of  2  similar  triangles=4:5={4}{5}Length\; of\; 2\; similar\; triangles=4:5=\frac\{4\}\{5\}

    and

    Hypotenuse  of  smaller  triangle=24  inchesHypotenuse\; of\; smaller\; triangle=24\; inches

    We have to find the length of hypotenuse of larger triangle.

    {h}{24}={5}{4}\therefore \frac\{h\}\{24\}=\frac\{5\}\{4\}
    ={24×5}{4}=30=\frac\{24\times5\}\{4\}=30

    So choice E is correct.

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