Answer:
w = (10√3)/3
x = 5
y = 5√2
z = (5√3)/3
Explanation:
→ The length of "x" is also 5 units because 45-45-90 triangles have the same leg lengths.
→ The length of "y" is 5√2 units because the hypotenuse of a 45-45-90 triangle is √2 times bigger than either leg length.
→ The length of "z" is 5/√3 or (5√3)/3 units because the longer leg length of a 30-60-90 triangle is √3 times bigger than the shorter leg length
→ The length of "w" is (10√3)/3 units because the longer leg length is 2 times bigger than the shorter leg length of a 30-60-90 triangle
See below for more information about general rules for 30-60-90 and 45-45-90 triangles!