Answer:
The length of the other leg in the simplest radical form is [tex]14\sqrt{3}[/tex]
Step-by-step explanation:
Let's assume
hypotenuse of a right triangle is 'c'
one of the leg is 'a'
other leg is 'b'
we are given
The hypotenuse of a right triangle is 28 units
so, [tex]c=28[/tex]
the length of one of the legs is 14 units
so,[tex]a=14[/tex]
now, we can use Pythagoras theorem
[tex]c^2=a^2+b^2[/tex]
now, we can plug values
[tex]28^2=14^2+b^2[/tex]
now, we can solve for b
[tex]b^2=588[/tex]
[tex]b=\sqrt{588}[/tex]
[tex]b=14\sqrt{3}[/tex]
