An isosceles triangle of vertical angle 2θ is inscribed in a circle of radius a. Show that the area of the triangle is maximum when θ = π6. [NCERT EXEMPLAR]

An isosceles triangle of vertical angle 2θ is inscribed in a circle o

1.	An isosceles triangle of vertical angle 2θ is inscribed in a circle of radius a. Show that the area of the triangle is maximum when θ = π6. [NCERT EXEMPLAR]
Answer» An isosceles triangle of vertical angle 2 $θ$ is inscribed in a circle of radius a. Show that the area of the triangle is maximum when $θ$ = $\frac{π}{6}$ . [NCERT EXEMPLAR]