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8 December, 09:54

The hypotenuse of a 45-45-90 triangle has a length of 10 units. what is the length of one of its legs?

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  1. 8 December, 09:56
    0
    When a triangle is a 45-45-90 triangle, the following rules apply:

    -the 2 legs are equal lengths

    - the length of the hypotenuse is: the square root of 2 x the length of a leg.

    - the length of the leg is: hypotenuse divided by the square root of 2.

    if the hypotenuse is 10, then 10 divided by the square root of 2 is how you find the leg.

    the square root of 2 is 1.41421356237.

    10 divided by 1.41421356237 is 7.07106781188, which can be rounded to about 7.1. The length of one leg is about 7.1 units!
  2. 8 December, 10:08
    0
    I think the answer is 45
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