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Math Help - Question about GEOMETRICAL CONSTRUCTION

  1. #1
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    Question about GEOMETRICAL CONSTRUCTION

    Following question is in our textbook.

    Make Triangle ABC. PR = 8 cm, angle PQR = 70 degree, and AB2 + BC2 = 82 cm2 ( 2 means square )

    I and also my friends are unable to solve this problem. Because of AB2 + BC2 = 82 cm2. How to make AB and BC . I hope some one will help soon. And please write the steps of constructing it. Thnx in advance....
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  2. #2
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    Quote Originally Posted by whyonlyme View Post
    Following question is in our textbook.

    Make Triangle ABC. PR = 8 cm, angle PQR = 70 degree, and AB2 + BC2 = 82 cm2 ( 2 means square )

    I and also my friends are unable to solve this problem. Because of AB2 + BC2 = 82 cm2. How to make AB and BC . I hope some one will help soon. And please write the steps of constructing it. Thnx in advance....
    What is PR? And where do I find \angle(PQR)?

    Please post the complete text of the equestion.
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  3. #3
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    Quote Originally Posted by earboth View Post
    What is PR? And where do I find \angle(PQR)?

    Please post the complete text of the equestion.
    I also confused because of that thing, I mean there isn't given PR and \angle(PQR) . I think there is any way in AC2 +BC2 = 82.
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  4. #4
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    Quote Originally Posted by whyonlyme View Post
    I also confused because of that thing, I mean there isn't given PR and \angle(PQR) . I think there is any way in AC2 +BC2 = 82.
    In general you have

    (\overline{AC})^2+(\overline{BC})^2=82~\implies~|\  overline{AC}| = \sqrt{82-(\overline{BC})^2}

    If you are looking for \overline{AC} and \overline{BC} as an integer then there are only two pairs of numbers which satisfy your equation: (1, 9) or (9, 1)
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