The maximum area of an isosceles triangle \( \mathrm{P} \) inscribe...

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The maximum area of an isosceles triangle
\( \mathrm{P} \) inscribed in the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) with its vertex

W at one end of the major axis is:
(1) \( a b \sqrt{3} \)
(2) \( \frac{3}{4} a b \sqrt{3} \)
(3) \( \frac{5}{4} a b \sqrt{3} \)
(4) None of these
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