Question

Please help urgent
Find x.

Answer 1

Answer:

x = $\sqrt{2}$

Step-by-step explanation:

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

sin45° = $\frac{\sqrt{2} }{2}$, hence

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

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

2x = 2$\sqrt{2}$ ( divide both sides by 2 )

x = $\sqrt{2}$ ← exact value

Answer 2

Answer: $\sqrt{2}$

Step-by-step explanation:

The rule to a 45-45-90 triangle is x and y would be equivalent and     2=x$\sqrt{2}$

                                                  2=x√2

                                                 √2x=2   (swap sides)

                                                 x=$\frac{2}{\sqrt{2} }$ (divide both sides by $\sqrt{2}$)

                                                 x=$\sqrt{2}$