the last few times I've posted questions no one has answered them...I'm starting to get kind of upset. let's see if this one gets answered:
the perimeter of a square is 44. find the length of a diagonal.
Use the pytagorean theorem a*2+b^2=c^2 which is 121+121=c^2 which makes 242=c^2 so the final answer would be 15.556 or just use simplest radical form
I do not see a single post by somebody called
"21 guns"
let each side of the square be x
then 4x = 44
x = 11
let the diagonal be d
by Pythagoras,
d^2 = 11^2 + 11^2 = 242
d = √242 = √121√2 = 11√2
I don't see any other posts from 21Guns. Nor do I see any other posts from your internet address in the last several hours.
44/4 = 11
To find the diagonal, use the Pythagorean theorem which gives you the hypotenuse of the right angle triangle that is formed.
a^2 + b^2 = c^2
11^2 + 11^2 = c^2
121 + 121 = 242
15.56 = c
thanks for your help (and it hasn't been today, it was over the last few times I have tried to get help from here)
I'm sorry to hear that your previous questions went unanswered. I'll be happy to help you with this one!
To find the length of the diagonal of a square, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In a square, the diagonal forms a right triangle with two sides being the sides of the square, and the diagonal acting as the hypotenuse.
Let's denote the length of one side of the square as "s" and the length of the diagonal as "d". Since all sides of a square are equal, we have four sides of length "s" each.
The perimeter of the square is given as 44, which means the sum of all four sides is 44. So, we can set up the equation: 4s = 44.
To find the length of one side, divide both sides of the equation by 4: s = 44/4 = 11.
Now, using the Pythagorean theorem, we can find the length of the diagonal:
d^2 = s^2 + s^2 (since the diagonal forms a right triangle with two sides of the square)
Substituting the value of "s" we found earlier:
d^2 = 11^2 + 11^2
d^2 = 121 + 121
d^2 = 242
To find the length of the diagonal "d", we take the square root of both sides: d = √242.
Using a calculator, we can determine that the square root of 242 is approximately 15.56.
So, the length of the diagonal of the square is approximately 15.56 units.