Question

Finding side length of the 90-degree angle triangle

Answer 1

Answer:

x = 4

Step-by-step explanation:

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

sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{4\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

$\sqrt{2}$ x = 4$\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 4