Question

What is the value of x? 7 7 square root 2 14 14 square root 2

Answer 1

Answer:

x = 14

i hope it helps :)

Step-by-step explanation:

$Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14$

Answer 2

Answer:

14

Step-by-step explanation:

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

sin45° = $\frac{1}{\sqrt{2} }$ , thus

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{7\sqrt{2} }{x}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x = 7$\sqrt{2}$ × $\sqrt{2}$ = 7 × 2 = 14