Answer: 34.4 inch
Step-by-step explanation:
We know that the Pythagoras theorem says that in a right triangle the square of hypotenuse is equal to the sum of the squares of the legs of the triangle.
Let H be the hypotenuse.
Therefore for the given right triangle , we have
[tex]H^2=20^+28^2\\\\\Rightarrow H^2=400+784\\\\\Rightarrow H^2=1184\\\\\Rightarrow H=\sqrt{1184}\\\\\Rightarrow H=34.4093010682\approx34.4\ in[/tex]
Thus, the length of the hypotenuse = 34.4 inch
