Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10. 13.7 100 289 19.7

Question

Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10. 13.7 100 289 19.7

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3 weeks 2021-10-01T15:34:45+00:00 1 Answer 0

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    2021-10-01T15:35:55+00:00

    Answer:

    ≈ 13.7

    Step-by-step explanation:

    Using Pythagoras’ identity on the right triangle.

    The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

    let x be the length of the third side, then

    x² + 10² = 17², that is

    x² + 100 = 289 ( subtract 100 from both sides )

    x² = 189 ( take the square root of both sides )

    x = \sqrt{189} ≈ 13.7

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