Answer:
Both the sides of the triangle are 12√2
Step-by-step explanation:
The given triangle is a right angle triangle having on acute angle = 45°
Since it a right angle triangle so other angle will be same as 45°.
therefore opposite sides of these angles will be same.
Now we apply the sine rule in the given triangle
[tex]sin45=\frac{x}{24}[/tex]
x = 24×sin 45 = [tex]24.\frac{1}{\sqrt{2} }=\frac{24}{\sqrt{2} }[/tex]
Now to convert this value in radical form we have to multiply numerator and denominator by √2.
[tex]x=\frac{24}{\sqrt{2}}.\frac{\sqrt{2} }{\sqrt{2} }=\frac{24\sqrt{2} }{2}=12\sqrt{2}[/tex]
