Option A: [tex]$6^{2}+11^{2}=c^{2}$[/tex] is the length of the hypotenuse
Explanation:
From the figure, we can see that the given triangle is a right angled triangle.
Hence, we can determine the length of the hypotenuse using Pythagoras theorem.
Thus, we have,
[tex]$a^{2}+b^{2}=c^{2}$[/tex]
where a and b are the lengths of the sides of the triangle. And c is the hypotenuse.
Thus, substituting the lengths of the sides [tex]a=6[/tex] , [tex]b=11[/tex] and [tex]c=c[/tex] is the hypotenuse.
Substituting these values in the equation, we get,
[tex]$6^{2}+11^{2}=c^{2}$[/tex]
Thus, the length of the hypotenuse is [tex]$6^{2}+11^{2}=c^{2}$[/tex]
