Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

What is the measurement of side a?

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  • RR
    Lv 7
    1 month ago
    Favorite Answer

    The Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

    a^2 + 9^2 = 12^2

    a^2 = 12^2 - 9^2

    a^2 = 144 - 81

    a^2 = 63

    a = 7.94

    • RR
      Lv 7
      1 month agoReport

      Thank you!

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  • 1 month ago

    =sqrt(144-81) =~7.937

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  • 1 month ago

    a = √(144 - 81) = √63 = 3√7 = 7.937253933

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  • 1 month ago

    That "appears" to be a Right Angle, but that is not specified. What if it was 91 degrees???

    So from the info given YOU CANNOT BE SURE OF AN ANSWER.

    IF they told you it's 90 degrees (a Right Triangle), then use Pythagoras.

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  • Como
    Lv 7
    1 month ago

    a²   = 12²  - 9²

    a²   = (12 - 9) (12  + 9)

    a²   = 3 x 21

    a   = √3 x √21

    a  = √63

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  • 1 month ago

    Use the Pythagorean Theorem.

    a^2 + 9^2 = 12^2

    a^2 + 81 =144

    a^2 = 63

    a = √63

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  • David
    Lv 7
    1 month ago

    Using Pythagoras' theorem side 'a' is 3 times square root of 7 or about 7.94 

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  • Pope
    Lv 7
    1 month ago

    You have given the lengths of two sides of a triangle, but have given no angles. No, there is no right angle in the given conditions. The best we can do is this inequality.

    12 - 9 < a < 12 + 9

    3 < a < 21

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  • sepia
    Lv 7
    1 month ago

    a = sqrt(12^2 - 9^2)

    Side a = 7.94

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  • 1 month ago

    Hypotenuse is 12

    ==> 12^2 = 9^2 + a^2

    ==> 144 = 81 + a^2

    ==> 144 - 81 = a^2

    ==> 63 = a^2

    ==> a = 8( approx)

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