Answer:
[tex]5.2\ units[/tex]
Step-by-step explanation:
Let
x-----> the length of the congruent legs
we know that
If the triangle is a right triangle with congruent legs
then
the measures of the internal angles are 45°-90°-45°
therefore
[tex]cos(45\°)=\frac{x}{(26\sqrt{2}/5)}[/tex]
[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex]
so
[tex]\frac{\sqrt{2}}{2}=\frac{x}{(26\sqrt{2}/5)}\\ \\x=26/5\\ \\x=5.2\ units[/tex]
