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Math Help - congruent triangles

  1. #1
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    congruent triangles

    View image: yenikelebek

    Can't get the answer.
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  2. #2
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    Re: congruent triangles

    Quote Originally Posted by kastamonu View Post
    View image: yenikelebek

    Can't get the answer.
    use the tangent property of a right triangle to find the unknown angle
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  3. #3
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    Re: congruent triangles

    How?Which line do I have to draw?
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    Re: congruent triangles

    Quote Originally Posted by kastamonu View Post
    View image: yenikelebek
    Can't get the answer.
    Are you very very sure that you have given us all the relevant information.
    Have you stated the actual problem is its exact wording?
    I think that you have put us down into the middle of a proof.
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  5. #5
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    Re: congruent triangles

    There is sufficient information to solve this problem. Answer is 63.4 degrees
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    Re: congruent triangles

    Yes I did. It has something to do with congruent triangles. We have to draw a line.
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  7. #7
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    Re: congruent triangles

    Maybe we have to create an isosceles triangle. Angle is 40 degrees.
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    Re: congruent triangles

    Quote Originally Posted by kastamonu View Post
    Yes I did. It has something to do with congruent triangles. We have to draw a line.
    Please give us the actual problem in its exact wording.
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  9. #9
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    Re: congruent triangles

    It is in Turkish.
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  10. #10
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    Re: congruent triangles

    I translated it word by word. I also sent a mail to the author.
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  11. #11
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    Re: congruent triangles

    View image: kelebek2 here it is.
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    Re: congruent triangles

    My answer was based on angle ABE of 30 deg.If it is 40 deg I do not see a solution with out further info
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    Re: congruent triangles

    In further review I have come up with 79.3 degrees for the unknown angle When I drew a diagram I found that CD was very close to a side of the equilateral triangle and decided that the angle could be calculated
    1 find the length of AE using 8 as a side of equilateral .Altitude of AEC and segments on AC calculate using angles of 20 and60
    2 AD =AC +AD
    3 Drop a perpendicular from D to AC extended.Mark F the intersection of same with AC ext
    4 Angle DCF calculates fromDF and CF as 40.7
    5 180-40.7-60= unknown =79.3
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  14. #14
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    Re: congruent triangles

    in post 13 line number2 should read AD=AE +ED.Triangle ADF is a 20-70 rt triangle so length of DF and AF can be calculated from AD.CF is AF-8
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  15. #15
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    Re: congruent triangles

    An swer is 80.But this is not a tri. question.If we can prove that CDE is isosceles....
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