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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- Sep 30th 2009, 12:12 AMsaha.subhamplease 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).

- Sep 30th 2009, 01:09 AMred_dog
BD is the median through the right angle af the triangle. Then $\displaystyle BD=AD=DC$. But $\displaystyle AB=BD$, then the traingle is equilateral. That means $\displaystyle \widehat{CAB}=60^{\circ}$

- Oct 1st 2009, 01:39 AMsaha.subham
- Oct 1st 2009, 08:05 AMred_dog
D is the center of the circumscribed circle. Then AD, DC, BD are radii, so they are equal.