Question

What is the value of x in the triangle?
х
45°
45°
12 v2
A. 122
B. 24
OC.
12
OD 6V2

Answer 1

Answer:

B) 24

Step-by-step explanation:

⇒ $sin\alpha = \frac{O}{H}$   [Using SOHCAHTOA]

⇒ $sin(45) = \frac{12\sqrt{2} }{x}$   [Substitute in values]

⇒ $x = \frac{12\sqrt{2} }{sin(45)}$   [Rearrange to make x the subject]

⇒ $x = 24$