Answer:
The length of one leg of the triangle is 22 units
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the length of one leg of the triangle
we know that
In the right isosceles triangle of the figure
The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse
[tex]cos(45\°)=\frac{x}{22\sqrt{2}}[/tex] ---> equation A
[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex] ----> equation B
equate equation A and equation B and solve for x
[tex]\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
[tex]x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units[/tex]
therefore
The length of one leg of the triangle is 22 units
