Answer:
g = 6 units
Step-by-step explanation:
In the given right angled triangle , rest 2 angles are same i.e. 45° each.
Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).
⇒ α = 45°
So ,
[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]
[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex] ( [tex]\alpha = 45[/tex] )
[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex] (∵ [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )
[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]
