If the tangents of the angles of a triangle are in arithmetic progression, prove that the square...
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If the tangents of the angles of a triangle are in arithmetic progression, prove that the squares of the sides are in the ratio
\[
x^{2}\left(x^{2}+9\right):\left(3+x^{2}\right)^{2}: 9\left(1+x^{2}\right),
\]
where \( x \) is the least or greatest tangent.
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