Answer:
[tex]a=82.85\ units[/tex]
Step-by-step explanation:
we know that
The Pythagoras Theorem states that in a right triangle
[tex]c^2=a^2+b^2[/tex]
where
c is the hypotenuse
a and b are the legs of the right triangle
In this problem we have
[tex]c=155\ units\\b=131\ units[/tex]
substitute the values
[tex]155^2=a^2+131^2[/tex]
solve for a
[tex]a^2=155^2-131^2[/tex]
[tex]a^2=6,864[/tex]
[tex]a=82.85\ units[/tex]
