Answer:
10
Step-by-step explanation:
Pyth. Theorem:
a = leg, b = leg, c = hypotenuse
[tex]c = \sqrt{ {a}^{2} + {b}^{2} }[/tex]
The length of the third side
=
[tex]\sqrt{ {5 \sqrt{3} }^{2} + {5}^{2} }[/tex]
=
[tex]\sqrt{75 + 25}[/tex]
=
[tex]\sqrt{100}[/tex]
= 10
