Answer:
Option B. [tex]x=5\sqrt{2}\ units[/tex], [tex]y=5\ units[/tex]
Step-by-step explanation:
step 1
Find the value of y
we know that
In a 45°-90°-45° triangle the legs are equal
therefore
[tex]y=5\ units[/tex]
step 2
Find the value of x
In the right triangle of the figure
[tex]cos(45^o)=\frac{5}{x}[/tex]
Remember that
[tex]cos(45^o)=\frac{\sqrt{2}}{2}[/tex]
substitute
[tex]\frac{\sqrt{2}}{2}=\frac{5}{x}[/tex]
[tex]x=\frac{10}{\sqrt{2}}[/tex]
simplify
[tex]x=5\sqrt{2}\ units[/tex]
