## fayaz803 Group Title ABC is an isosceles triangle with AB=BC. The circumcircle of ABC has radius 8. Given that AC is a diameter of the circumcircle, what is the area of triangle ABC? one year ago one year ago

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1. genius12 Group Title

|dw:1375617084417:dw|Note that angle B will be a right angle (which can be proved using the 'Angle at the center theorem'). We also note that this triangle is isosceles and and it's base is the diameter of the circle $$\bf AC=16$$. And the height of the triangle is just the radius of the circle which is given to us as 8. Hence of the triangle is:$\bf Area \ of \ \triangle ABC=\frac{ 16 \times 8 }{ 2 }=64 \ units^2$

2. genius12 Group Title

@fayaz803

3. CGGURUMANJUNATH Group Title

64

4. srev98 Group Title

true"genius" u have all concepts in ur finger tips!!!!!