Answer:
x=6.36
Step-by-step explanation:
In a right triangle where the angles are 45, 45 and 90, the hypotenuse is equal to [tex]\sqrt{2}[/tex] multiplied by the length of the legs. Knowing this, we can set up the following equation:
[tex]9=x\sqrt{2}[/tex]
Multiply both sides by [tex]\sqrt{2}[/tex]
[tex]9\sqrt{2} =x\sqrt{2}*\sqrt{2}\\9\sqrt{2} =2x[/tex]
Divide both sides by 2
[tex]\frac{9\sqrt{2}}{2}=\frac{2x}{2}\\\frac{9\sqrt{2}}{2}=x[/tex]
[tex]x=6.36[/tex] (this answer is approximate)
Therefore, x is equal to 6.36.
I hope this helps!
