Find the maximum area of an isosceles triangle inscribed in the ellipse with its…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

5. Find the maximum area of an isosceles triangle inscribed in the ellipse

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1

with its vertex at one end of the major axis.