What is the value of x in the triangle?
х
45°
45°
12 v2
A. 122
B. 24
OC.
12
OD 6V2
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Answer:
B) 24
Step-by-step explanation:
⇒ [tex]sin\alpha = \frac{O}{H}[/tex] [Using SOHCAHTOA]
⇒ [tex]sin(45) = \frac{12\sqrt{2} }{x}[/tex] [Substitute in values]
⇒ [tex]x = \frac{12\sqrt{2} }{sin(45)}[/tex] [Rearrange to make x the subject]
⇒ [tex]x = 24[/tex]