Erin is wrong.
12/4 = 3
a^2 + b^2 = c^2
3^2 + 3^2 = c^2
9 + 9 = 18
What is the square root of 18?
a. 1.7ft
b. 3.5ft
c. 4.2ft
d. 12.7ft
and how?I was confused on this question I tried to subtract and divide but nothing work.
12/4 = 3
a^2 + b^2 = c^2
3^2 + 3^2 = c^2
9 + 9 = 18
What is the square root of 18?
Let's start by finding the length of one side of the square. Since the perimeter of the square is 12ft, and a square has four equal sides, we can divide the perimeter by 4 to find the length of one side.
12ft รท 4 = 3ft
So, each side of the square is 3ft.
Now, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the diagonal of the square is the hypotenuse, and the two sides are the length of one side of the square (3ft).
So, we have:
diagonal^2 = side^2 + side^2
diagonal^2 = 3^2 + 3^2
diagonal^2 = 9 + 9
diagonal^2 = 18
To find the length of the diagonal, we take the square root of each side:
diagonal = โ18
Using a calculator, the approximate value of โ18 is 4.24ft.
So, the approximate length of the diagonal of the square is 4.24ft.
Based on the given options, the closest value is 4.2ft (option c).