Answer:
[tex]x=5\sqrt{3}[/tex]
Step-by-step explanation:
Evaluate the Pythagorean Theorem for the triangle.
a² + b² = c²
5² + x² = 10²
25 + x² = 100
Subtract 25 from both sides.
x² = 75
Square root.
x = sqrt(75)
Expand the radical.
x = 5*sqrt(3)
