Answer:
x = 20 units
Step-by-step explanation:
∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.
Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).
2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.
∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.
Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,
20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →
x = 20.
