Answer:
The correct option is 4.
Step-by-step explanation:
According to the Pythagoras theorem, the sum of squares of two legs of a triangle is equal to the square of the hypotenuse of the triangle.
[tex](hypotenuse)^2=(leg_1)^2+(leg_2)^2[/tex]
From the given figure it is clear that the length of one leg is 4 ft and the length of second leg is 7 ft.
Using Pythagoras theorem, we get
[tex](hypotenuse)^2=(4)^2+(7)^2[/tex]
[tex](hypotenuse)^2=16+49[/tex]
[tex](hypotenuse)^2=65[/tex]
Taking square root both the sides.
[tex]hypotenuse=\sqrt{65}[/tex]
The length of the hypotenuse is √(65) ft . Therefore the correct option is 4.
