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Math Help - please solve this from circle chapter

  1. #1
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    Question please solve this from circle chapter

    1) triangle ABC is a right angled at B. on AC, a point D is taken so that AD = DC and AB = BD. find m(< CAB).
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  2. #2
    MHF Contributor red_dog's Avatar
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    BD is the median through the right angle af the triangle. Then BD=AD=DC. But AB=BD, then the traingle is equilateral. That means \widehat{CAB}=60^{\circ}
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  3. #3
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    Quote Originally Posted by red_dog View Post
    BD is the median through the right angle af the triangle. Then BD=AD=DC. But AB=BD, then the traingle is equilateral. That means \widehat{CAB}=60^{\circ}
    please explain sir, how BD = AD? your answer is correct
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  4. #4
    MHF Contributor red_dog's Avatar
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    D is the center of the circumscribed circle. Then AD, DC, BD are radii, so they are equal.
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