Find the missing side lengths. Leave your answer as radicals in simplest form.

Hence x = y = 2

Step-by-step explanation:

Using the SOH CAH TOA identity

Hypotenuse = 2√2

Opposite = x

theta = 45

Sin theta = opp/hyp

Sin 45 =x/2√2

1/√2 = x/2√2

x = 2√2 * 1/√2

x = 2

To get y we will use the pythagoras theorem;

(2√2)² = x² +y²

(2√2)² = 2²+y²

8 = 4 + y²

y² = 8-4

y² = 4

y = √4

y = 2

Hence x = y = 2

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0