Respuesta :

Answer:

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

x = 9

Step-by-step explanation:

this triangle is isosceles because the base angles are each 45°

the ratio of sides in a 45-45-90° triangle are 1 : 1 : [tex]\sqrt{2}[/tex]

so 'y' is going to also be [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex]

'x' will be [tex]\sqrt{2}[/tex] multiplied by  [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex] which will be:

[tex]\frac{(9x2)}{2}[/tex] = 9