Question

Please help urgent
Find x.

Answer 1

Answer:
`√(2)`

Explanation:

The rule to a 45-45-90 triangle is x and y would be equivalent and 2=x
`√(2)`

2=x√2

√2x=2 (swap sides)

x=
`(2)/(√(2) )` (divide both sides by
`√(2)`)

x=
`√(2)`

Answer 2

x =
`√(2)`

Explanation:

Since the triangle is right use the sine ratio to find x and the exact value of

sin45° =
`(√(2) )/(2)`, hence

sin45° =
`(opposite)/(hypotenuse)` =
`(x)/(2)` and

`(x)/(2)` =
`(√(2) )/(2)` ( cross- multiply )

2x = 2
`√(2)` ( divide both sides by 2 )

x =
`√(2)` ← exact value