Q1.
x = 4√2
Q2.
8√2
Q3.
a√2 = 6 |multiply both sides by √2
2a = 6√2 |divide both sides by 2
a = 3√2
Q4.
x = 16/2 · √3 = 8√3
Q5.
(2√3)/2 · √3 = √3 · √3 = 3
Q6.
∡DCB = 60°
therefore
|BD| = 8/2 · √3 = 4√3
Q7.
90√2 ft ≈ 127.3 ft
Q8.
x² + 22² = 25²
x² + 484 = 625 |subtract 484 from both sides
x² = 141
x = √141
Q9.
x² = 20² + 48²
x² = 400 + 2304
x² = 2704
x = √2704
x = 52
Q10.
d² = 60² + 25²
d² = 3600 + 625
d² = 4225
d = √4225
d = 65 miles