Answer:
x = [tex]5\sqrt{2}[/tex]
Step-by-step explanation:
We know that;
The triangle is isosceles, and the hypotenuse is x, the un-labeled side is 5.
Therefore we can say;
5² + 5² = x²
25 + 25 = x²
50 = x²
[tex]\sqrt{50}[/tex] = x
We can simplify this further;
[tex]\sqrt{25} * \sqrt{2}[/tex] = [tex]\sqrt{50}[/tex]
[tex]5\sqrt{2}[/tex] = [tex]\sqrt{50}[/tex]
Hope this helps!