Answer:
[tex]x=13,\ y=13\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\text{Solution:}\\\text{Let the remaining angle of the triangle be }a.\\\text{Then,}\\a+45^\circ+90^\circ=180^\circ\ \ \ [\text{Sum of angles of triangle is 180}^\circ.]\\\text{or, }a+135^\circ=180^\circ\\\text{or, }a=45^\circ[/tex]
[tex]\text{Since two angles of this triangle are equal, this is an isosceles triangle.}\\\therefore\ x=13\\\text{From Pythagoras Theorem,}\\y^2=x^2+13^2\\\text{or, }y^2=13^2+13^2\\\text{or, }y^2=2(13)^2\\\text{or, }y=13\sqrt{2}[/tex]
