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21 June, 09:27

Two of the sides of a right triangle are 8 and 6 units long. How long is the third side? Find all possible answers.

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  1. 21 June, 09:29
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    10 units.

    2√7 units.

    - (or 5.29 units to the nearest hundredth)

    Step-by-step explanation:

    If the 2 sides are legs of the triangle (that is they are at 90 degrees to each other) the third side, by Pythagoras theorem:

    = √ (6^2 + 8^2)

    = √100

    = 10 units.

    The other possibility is that 8 is the length of the hypotenuse, in which case

    The third side

    = √ (8^2 - 6^2)

    = √28

    = 2√7 units.
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