For a 45-45-90 triangle if the sides rae x then the the hytponuse is x√2 (x is the missing side)
5. 10=x√2 10/√2=x rationalize denom, times top and bottom by √2 10√2/2=x 5√2=x=XY
6. 12√2=YZ
7. 7√2=XZ
8. 7*2=14=XZ
for 30-60-90 the side oposite the 30 deg is x side oposite 60 is x√3 side oposite right angle is 2x hyptonuse is oposite right angle 20=2x 10=x=shorter leg shorter leg is 10 units the hyptonuse