Respuesta :

Answer:

6√2

Step-by-step explanation:

Given,

θ = 45

Opposite side = 6

To find : - Hypotenuse

Formula : -

sin θ = Opposite side / Hypotenuse

[ The value of sin 45 = 1 / √2 ]

sin 45 = 6 / Hypotenuse

1 / √2 = 6 / Hypotenuse

Cross multiply,

Hypotenuse = 6√2

Answer:

6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

a 45-45-right triangle always has the same relationship between the legs and hypotenuse.

leg:leg:hypotenuse

x:x:x[tex]\sqrt{2}[/tex]