Question

Find the length of the hypotenuse.​

Answer 1

Answer:

6

Step-by-step explanation:

Using the sine ratio in the right triangle

let x = hypotenuse and sin45° = $\frac{\sqrt{2} }{2}$, then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{3\sqrt{2} }{x}$

and

$\frac{3\sqrt{2} }{x}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

$\sqrt{2}$ × x = 6$\sqrt{2}$

Divide both sides by $\sqrt{2}$

x = 6