Answer:
The length of the hypotenuse is [tex]4\sqrt{41}\ in[/tex]
Step-by-step explanation:
we know that
In a right triangle
Applying the Pythagoras Theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
where
c is the hypotenuse
a,b are the legs of the right triangle
substitute the values
[tex]c^{2}=16^{2}+20^{2}[/tex]
[tex]c^{2}=256+400[/tex]
[tex]c^{2}=656[/tex]
[tex]c=\sqrt{656}\ in[/tex]
Simplify
[tex]c=4\sqrt{41}\ in[/tex]
