Question

Find x in this 45°-45°-90° triangle. x = 4.5√2 9 18

Answer 1

Answer:

x = 9

Step-by-step explanation:

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

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{9\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 9$\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 9