Answer:
x = 12
Step-by-step explanation:
Step(i):-
From graph,
The angle of the triangle ∝ = 45°
Given hypotenuse of the triangle
AC = 12√2 and AB = x
Step(ii):-
we will choose sine function
[tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]
[tex]sin\alpha = \frac{x}{12\sqrt{2} }[/tex]
Given that an angle ∝ = 45°
[tex]sin45 = \frac{x}{12\sqrt{2} }[/tex]
[tex]\frac{1}{\sqrt{2} } = \frac{x}{12\sqrt{2} }[/tex]
[tex]\frac{1}{1 } = \frac{x}{12}[/tex]
x = 12
Final answer:-
x = 12
