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"using Pythagoras, you find the length of either of the two sides.
For example, if the diagonal is = 5
Then square it = 25
Then Half it (since both of the other sides of one of the triangles are equal) = 12.5
Then Square Root it = sqrt(12.5)
The length of one side is sqrt(12.5)
So now you can just square it and the area is 12.5
Hope that makes sense"
Actually there are steps here you don't need. Use the equation: A= (d^2)/2 Where d=diagonal length. You don't need to square root it then square it again. That would only make sense if you wanted to find the side length, but in that case all you would have to do is divide the diagonal by the square root of 2, which will also give you the side length, but in a much easier way.
What else can I help you with?
What is the area of a square with a diagonal of 14?
To find the area of a square with a diagonal of 14, we first need to determine the length of one side of the square. Using the Pythagorean theorem, we can calculate that the side length is 7√2. Then, we can find the area of the square by squaring the side length, which gives us 98 square units.
What is the perimeter of a square whose one diagonal is 16cm?
To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.
What is the diagonal measurement of a square that is 16 feet x 24 feet?
Well, isn't that a happy little question! To find the diagonal measurement of a square, we can use the Pythagorean theorem. So, for a square that is 16 feet by 24 feet, we can calculate the diagonal by taking the square root of (16^2 + 24^2), which equals about 28.84 feet. Just imagine that diagonal stretching across your square canvas, creating a beautiful harmony of length and width.
What is the length of the diagonal of a square with an area of 36?
Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 36) = 6√2 ≈ 8.49
What is the length of the diagonal of a 10 by 10 ft square?
To find the length of the diagonal of a square, we can use the Pythagorean theorem. In a square, the diagonal divides the square into two right-angled triangles. The Pythagorean theorem states that the square of the length of the diagonal is equal to the sum of the squares of the two sides. Therefore, for a 10 by 10 ft square, the length of the diagonal would be the square root of (10^2 + 10^2) which is √(100 + 100) = √200 = 10√2 feet.
How do you calculate area of a triangle using the length of the diagonal of a square?
It depends on the relationship between the triangle and the square!
What is the area of a square with a diagonal of 14?
To find the area of a square with a diagonal of 14, we first need to determine the length of one side of the square. Using the Pythagorean theorem, we can calculate that the side length is 7√2. Then, we can find the area of the square by squaring the side length, which gives us 98 square units.
What is the diagonal length of a 40x40 square?
The diagonal length of a square can be calculated using the formula (d = a\sqrt{2}), where (a) is the length of a side. For a 40x40 square, the diagonal length is (d = 40\sqrt{2}), which is approximately 56.57 units.
What is length of diagonal line in rectangle 32 feet by 36 feet?
Using Pythagoras: 322+362 = 2320 and the square root of this is the length of the diagonal
What is the length of the diagonal of a square with sides that have a length of 1 unit?
Using Pythagoras' theorem the answer is equal to the square root of 2.
What is the length of the diagonal of a square with an area of 64?
To find the length of the diagonal of a square with an area of 64 square units, we first need to calculate the side length of the square. Since the area of a square is side length squared (A = s^2), we can find the side length by taking the square root of the area (s = √A). In this case, the side length of the square is 8 units. To find the length of the diagonal, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2). Since a square can be divided into two right triangles with the diagonal as the hypotenuse, we can calculate the diagonal length using d = √(s^2 + s^2), where d is the diagonal length and s is the side length. Substituting the side length of 8 units into the formula, we get d = √(8^2 + 8^2) = √(64 + 64) = √128 = 8√2 units. Therefore, the length of the diagonal of a square with an area of 64 square units is 8√2 units.
The length of a diagonal of a square is 8 cm What is the length of each side of the square?
About 5.656854249 cm using Pythagoras' theorem: 2x2 = 64
How do you figure out a diagonal of a square?
By using the Pythagoras theory, which is a2 + b2 = C2 A and B being each length and c being the diagonal.
What is the length of the diagonal of a square whose sides are 1cm?
Using Pythagoras's theorem, you will find that the diagonal is sqrt(2) = 1.4142 cm (approx),
How do you find the volume of a cubical box when diagonal is given?
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers
What is the perimeter of a square whose one diagonal is 16cm?
To find the perimeter of a square with a diagonal of 16 cm, we first need to determine the side length of the square using the Pythagorean theorem. The diagonal of a square divides it into two right-angled triangles, with the diagonal being the hypotenuse. Using the formula a^2 + b^2 = c^2, where a and b are the two sides of the triangle and c is the hypotenuse, we can calculate that each side of the square is 8√2 cm. Since a square has four equal sides, the perimeter is 4 times the side length, giving us a perimeter of 32√2 cm.
Is it possible to evaluate the exact diagonal length of a square using Pythagoras theorem?
That depends how exactly the measurements of the sides are - and how exactly the "right angle" is really a right angle. If the measurements are exact, then, yes, you can also calculate the diagonal exactly - using Pythagoras' Theorem..................................................................................................................................Improved Answer:No it's not possible to find the accurate length of the diagonal of any square using Pythagoras' theorem because the answer will always be an irrational number which can never be determined just like the value of pi in a circle.
