Question

ABC is a triangle with area equal to 20. The incircle of triangle ABC has radius equal to 2 and the circumcircle of triangle ABC has radius equal to 6. If sin∠A+sin∠B+sin∠C=ab, where a and b are coprime positive integers, what is the value of a+b?

Answer 1

@Luis_Rivera ??

Answer 2

@amistre64 ??

Answer 3

@phi ?? @TuringTest ??

Answer 4

@Mertsj ??? @jhonyy9 ??

Answer 5

how do you think this is right draw like first step ?