A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3, 4 and 5 units. Then area of the triangle is equal to
The arcs subtend angles that are proportionate to their lengths. i.e. 3θ,4θ,5θ
⟹ The 3 triangles subtend 90,120,150 angles.
Area is given by 12absinC
Total Area =12r2sinθ1+12r2sinθ2+12r2sinθ3