Respuesta :

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]