How do i find the height (y inches)? plz plz plz plz ! plz

a^2 + b^2= c^2a2 + b2 = c2 
x^2 + 6^2= 8^2x2 + 62 = 82 
x^2 = 64- 36x2 = 64 − 36 
x= \sqrt{28}x=√28 [approx. 5.3 inches]

Now

To find side y, 
y^2+5.3^2=7^2y2+5.32=72 
y^2=49-28.09y2=49−28.09 
y= \sqrt{20.91}y=√20.91 [approx 4.6 inches]

I think is correct