Question

What is the length of side s of the square shown below?

45
90°
A. 2-2
B. 2
C. 42
O D. v2
E. 1
O F. 4

Answer 1

D. √2

Explanation:

Solve for x by applying trigonometric ratio.

Reference angle = 45°

Hypotenuse = 2

Adjacent side = s

Thus:

Cos (45) = adj/hyp

Cos (45) = s/2

2×Cos(45) = s

2 × √2/2 = s (cos (45) = √2/2)

√2 = s

s = √2