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Mathematics
Problem
5. Find the maximum area of an isosceles triangle inscribed in the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1
a
2
x
2
+
b
2
y
2
=
1
with its vertex at one end of the major axis.
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