Question

Please help!!!

What is the value of y?
60
45
2V2
Enter your answer, as an exact value in the box
y =

Answer 1

Explanation:

Ratio of sides of 45-45-90 triangle = x : x : x√2

x√2 is the side opposite to angle 90

So, from the picture,

x√2 = 2√2

x =
`(2√(2))/(√(2))`

x = 2

Ratio of sides of 30-60-90 tirangle = a : 2a : a√3

Short side that is oppoiste to 30° = a

Side opposite to 60° = a√3

Hypotenuse (oppoiste to 90°) = 2a

a = 2

y =a√3

y = 2√3