Question

Find the length of the hypotenuse.​

Answer 1

6

Explanation:

Using the sine ratio in the right triangle

let x = hypotenuse and sin45° =
`(√(2) )/(2)`, then

sin45° =
`(opposite)/(hypotenuse)` =
`(3√(2) )/(x)`

and

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

`√(2)` × x = 6
`√(2)`

Divide both sides by
`√(2)`

x = 6