Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

What is the measurement of side a?

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  • RR
    Lv 7
    2 months 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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  • 2 months 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
    2 months ago

    a²   = 12²  - 9²

    a²   = (12 - 9) (12  + 9)

    a²   = 3 x 21

    a   = √3 x √21

    a  = √63

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  • 2 months 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
    2 months ago

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

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  • Pope
    Lv 7
    2 months 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
    2 months ago

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

    Side a = 7.94

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  • 2 months 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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