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7 March, 22:07

A right triangle has legs with lengths 9 cm and 40 cm. What is the length of the hypotenuse?

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Answers (2)
  1. 7 March, 22:17
    0
    Pythagorean theorem

    a^2+b^2=c^2

    a and b are legs

    c=hypotonuse

    assign each

    a=9

    b=40

    9^2+40^2=c^2

    81+1600=c^2

    1681=c^2

    square root both sides

    41=c

    hpotonuse=41 cm
  2. 7 March, 22:24
    0
    Use pythagorean theorem a² + b² = c², where a and b are legs, and c is hypotenuse.

    9² + 40² = c²

    √ (9² + 40²) = c

    √ (81 + 1600) = c

    √1681 = c

    41 = c

    So length of hypotenuse is 41 cm.
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