one side of a right triangle measure 20m and the difference in length of its hypotenuse and the other side is 8 cm. find the lengt

Question

one side of a right triangle measure 20m and the difference in length of its hypotenuse and the other side is 8 cm. find the length of its unknown side other than hypotenuse?

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Lydia 2 years 2021-06-22T02:47:44+00:00 1 Answers 0 views 0

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    2021-06-22T02:49:06+00:00

    Answer:

    Step-by-step explanation:

    let the hypotenuse be x

    so the remaining side will be x-8

    according to question one side is 20

    by pythagorus theorem we get

    h^2= b^2 +p^2

    x^2=(x-800)^2 + 20^2

    x^2=x^2+64-16x +400     {(a-b)^2= a^2+b^2+2ab}

    x^2-x^2+16x =464

    x=464/16

    x=29

    so hypotenuse= x= 29

    one side = x-8=21

    and another side which is given is 20

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