The required length of the hypotenuse of the triangle is √19.
To find the required length of the hypotenuse of the triangle:
Legs in the right triangle refer to the perpendicular and base.
Hypotenuse:
[tex]= \sqrt{perpendicular^{2}+base^{2} } \\= \sqrt{3^{2}+\sqrt{10^{2} } } \\=\sqrt{19}[/tex]
Therefore, the required length of the hypotenuse of the triangle is √19.
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