Respuesta :

Answer:

x = 10.3

y = 5.8

Step-by-step explanation:

To find both x and y, you can use the formula [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a and b would be the sides that touch the right angle

so to find x, you would do [tex]9^{2}[/tex] + [tex]5^{2}[/tex] = [tex]x^{2}[/tex]

this would be: 81 + 25 = [tex]x^{2}[/tex]

then add it and you get: 106 = [tex]x^{2}[/tex]

now do the square root of 106 to get: 10.3 = x

Now plug in your other values to get y: [tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]y^{2}[/tex]

do the same thing here: 25 + 9 = [tex]y^{2}[/tex]

add your numbers: 34 = [tex]y^{2}[/tex]

square root 34: 5.8 = y