The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40

Question

The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40 cm 71 cm

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    2021-11-26T12:29:43+00:00

    if the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

    Explanation:

    Here you have to use the formula

     {a}^{2} + {b}^{2} = {c}^{2}
    Then you have to pose the formula in terms of one of the legs, so:

     {a}^{2} = {c}^{2} - {b}^{2}
    a = \sqrt{ {c}^{2} - {b}^{2}}
    So when you change the letter for numbers you have that:

    a = \sqrt{ {58}^{2} - {42}^{2} }

    a=40

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