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Math Help - Draw a right triangle that belongs to this description

  1. #1
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    Draw a right triangle that belongs to this description

    Hello,

    I'm taking an online course for Math, and I'm lost. Any suggestions? Thanks you.

    1)TriangleJKL, where tanJ =1/2 and angleK = 90degrees
    2)Show the measure of each side and each angle of the triangle.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by Amry View Post
    Hello,

    I'm taking an online course for Math, and I'm lost. Any suggestions? Thanks you.

    1)TriangleJKL, where tanJ =1/2 and angleK = 90degrees
    2)Show the measure of each side and each angle of the triangle.
    Hi Amry,

    See diagram. Since tan J = 1/2, the opposite side of J must be 1 and the adjacent side of J must be 2.

    Use the Pythagorean theorem to find the hypotenuse.

    To find the angles, find arctan (1/2) and arctan (2).
    Attached Thumbnails Attached Thumbnails Draw a right triangle that belongs to this description-1.jpg  
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  3. #3
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    Actually, it is not a matter of "the opposite side of J must be 1 and the adjacent side of J must be 2." Rather, whatever the length of the opposite side is, the length of the adjacent side must be twice that. Opposite side with length 1 and opposite side with length 2 is one right triangle that fits that. There is no way to determine the actual length of both sides from the given information.
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