Question

Find the length of side xx in simplest radical form with a rational denominator.

Answer 1

x = 2
`√(2)`

Explanation:

Using the sine ratio in the right triangle and the exact value

sin30° =
`(1)/(2)` , then

sin30° =
`(opposite)/(hypotenuse)` =
`(√(2) )/(x)` =
`(1)/(2)` ( cross- multiply )

x = 2
`√(2)`

Answer 2

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=
`(√(2))/(x)`

x=2*
`√(2)`

The value of x is 2
`√(2)`