Respuesta :

gmany
The triangle RST and the triangle XYT are similar.

Therefore we have a proportion:

[tex]\dfrac{3}{a}=\dfrac{a}{6}\ \ \ |cross\ multiply\\\\a\cdot a=3\cdot6\\\\a^2=18\to a=\sqrt{18}\\\\a=\sqrt{9\cdot2}\\\\a=\sqrt9\cdot\sqrt2\\\\\boxed{a=3\sqrt2}[/tex]
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