The length of the base is c
Answer:
Green
Step-by-step explanation:
Answer:
The diagonal is 14sqrt(2) ft
Step-by-step explanation:
The area of a square is given by
A =s^2 where s is the side length
196 = s^2
Take the square root of each side
sqrt(196) =sqrt(s^2)
14 = s
The side length is 14 ft
Now we can use the Pythagorean theorem to find the length of the diagonal
a^2 + b^2 = c^2
The side lengths of the triangle are s = 14, and the diagonal is the hypotenuse
14^2 + 14^2 = c^2
196+196 = c^2
392 = c^2
Take the square root of each side
sqrt(392) = sqrt(c^2)
sqrt(196 *2) = c
We can separate this into two pieces sqrt(ab) = sqrt(a) sqrt(b)
sqrt(196)sqrt(2) =c
14sqrt(2) = c
The diagonal is 14sqrt(2) ft
