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Math Help - How to go about solving this triangle.

  1. #1
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    How to go about solving this triangle.

    I can't seem to find what method I should use to solve this right triangle.

    I'll call the triangle ABC, with B being the 90 degree angle. Neither angle A or C are known. Side BC is 8 long, side AB is unknown.

    A line segment goes from angle B to a point on AC, forming a 90 degree angle with it. From where this line segment meets AC down to angle A is 15 long.

    Also, angles A and C are equal.
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  2. #2
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    Quote Originally Posted by Lewong View Post
    I can't seem to find what method I should use to solve this right triangle.

    I'll call the triangle ABC, with B being the 90 degree angle. Neither angle A or C are known. Side BC is 8 long, side AB is unknown.

    A line segment goes from angle B to a point on AC, forming a 90 degree angle with it. From where this line segment meets AC down to angle A is 15 long.

    Also, angles A and C are equal.
    note your statements in bold and recheck your description ... if ABC is a right triangle with right angle B, and angle A = angle C, then ABC is a right isosceles triangle. as such, your description of the given lengths would not be possible.
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  3. #3
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    Quote Originally Posted by Lewong View Post
    I can't seem to find what method I should use to solve this right triangle.

    I'll call the triangle ABC, with B being the 90 degree angle. Neither angle A or C are known. Side BC is 8 long, side AB is unknown.

    A line segment goes from angle B to a point on AC, forming a 90 degree angle with it. From where this line segment meets AC down to angle A is 15 long.

    Also, angles A and C are equal.
    As skeeter has pointed out:

    if B is 90deg AND A and C are equal then
    distance AB = distance BC and
    distance AC =  \sqrt { 8^2 + 8^2} = 11.31

    If you mean UNEQUAL then it is solvable.
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  4. #4
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    yea i've checked this like a hundred times and everything i typed in the OP seems 100% true. Maybe this really is a flawed question.

    Ill have to draw a pic of the triangle to make absolutely sure, though.
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  5. #5
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    Quote Originally Posted by Lewong View Post
    yea i've checked this like a hundred times and everything i typed in the OP seems 100% true. Maybe this really is a flawed question.

    Ill have to draw a pic of the triangle to make absolutely sure, though.
    ... there is your mistake.
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  6. #6
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    Ok i drew an exact replica of the problem in question, unfortunately the only program available to me at the moment is artpad. So here it is:

    EDIT: those things at the top right and bottom left are greek symbols
    Attached Thumbnails Attached Thumbnails How to go about solving this triangle.-picture-1.png  
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