Answer:
The answer is 6 feet.
Step-by-step explanation:
Let's take a right angled triangle ABC which has 3 sides of lengths a, b and c. c is the longest side or the hypotenuse.
Then by Pythagoras rule:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Let's take the length of the unknown leg in the figure as [tex]x[/tex].
Now lets substitute the values from the figure to above equation.
[tex]x^{2} +5^{2} =\sqrt{61} ^{2}[/tex]
=[tex]x^{2} +25 =61[/tex]
=[tex]x^{2} =61-25[/tex]
=[tex]x^{2} =36[/tex]
=[tex]x=6[/tex] or [tex]x=-6[/tex]
Length of a triangle cannot be a negative value, so we can take +6 as the value of x.
So the answer is 6 feet.
