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To find the side length of a square with a diagonal of 5, we can use the Pythagorean theorem. The diagonal of a square divides it into two 45-45-90 right triangles. Let x be the side length of the square. Using the Pythagorean theorem, we have x^2 + x^2 = 5^2. Simplifying, we get 2x^2 = 25. Solving for x, we find x = √(25/2) = √12.5 = 3.54 (rounded to two decimal places). Therefore, the side length of the square is approximately 3.54 units.
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What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
He order square-shaped floppy diskettes measured 5 in on each side what was the diagonal length of a diskette?
t he older square-shaped floppy diskettes measured 15 cm on each side. What was the diagonal length of a diskette?
What is the area of a square whose diagonal is length 5?
3.54Improved Answer:-Let a side of the square be x and use Pythagoras' theorem to find its length:-2x2 = 25x = sqrt of 12.5Area = sqrt 12.5*sqrt 12.5 = 12.5So the area of the square = 12.5 square units
What is the diagonal length of a rectangle that is 80 inches long and 60 inches wide?
Because the diagonal would be the hypotenuse of a right triangle, its length is the square root of the sum of 802 square inches and 602 square inches, which is exactly 100 inches.A quicker and easier way to determine the length of the diagonal is to recognize right away that you are working with a 3-4-5 right triangle, one of the classic forms used a lot in education, especially appealing because the length of every side is a whole number. The one in this problem is scaled by a factor of 20, but if you recognize the 3 to 4 ratio between the sides or the 3 to 5 or 4 to 5 ratios between a side and the hypotenuse, your work becomes a lot easier.
How do you find the area of a rectangle with the diagonal of 13 and a width of 5?
if a rectangle has width of 5 and diagonal with lenght of 13, what is the area of the rectangle? Use Pythagoras' theorem to find the length of the rectangle which will be 12 5*12 = 60 square units
What is the length of the diagonal of a square with a side length of 5 in?
The diagonal length = 7.07 inches.
What is the length of a diagonal of a square with a 5 centimeter side?
~7.1 cm
What is the area of a square with a circle of a radius of 5 inches?
If the circle is inscribed in the square, the side length of the square is the same as the diameter of the circle which is twice its radius: → area_square = (2 × 5 in)² = 10² sq in = 100 sq in If the circle circumscribes the square, the diagonal of the square is the same as the diameter of the circle; Using Pythagoras the length of the side of the square can be calculated: → diagonal = 2 × 5 in = 10 in → side² + side² = diagonal² → 2 × side² = diagonal² → side² = diagonal² / 2 → side = diagonal / √2 → side = 10 in / √2 → area _square = (10 in / √2)² = 100 sq in / 2 = 50 sq in.
What is the approimate side length of a square with a diagonal of 5 units?
The side length of the square is about 3.54 units using Pythagoras' theorem for a right angle triangle
What is the length of a diagonal of a square with sides of length 5?
7.0711 (rounded)
Is the length diagonal of a square with side 5 a real number?
It is a real number in the sense that it is an irrational number which can't be expressed as a fraction and its length is 5 times the square root of 2
He order square-shaped floppy diskettes measured 5 in on each side what was the diagonal length of a diskette?
t he older square-shaped floppy diskettes measured 15 cm on each side. What was the diagonal length of a diskette?
What is the length of a diagnal square with sides of length of 5?
The length of the diagonal of a square with sides 5 is 5√2. This is because of the properties of a 45-45-90 triangle.
What is the side length of a square with a diagonal of 5 units?
Using Pythagoras' theorem each side measures 3.536 units rounded to 3 decimal places
How do you calculate area of a square using the length of its diagonal?
"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.
If the volume of a cube is 125 find the length of one of the face diagonals of the cube?
find the cube root of 125(which is 5) is the length of one side do Pythagorean theorem to find the diagonal 5squared plus 5 squared=50 square root of 50=7.07106781 is diagonal
What is area if diagonal of square is 5 root of 2?
Diagonal = 5*sqrt(2) units implies that side = 5 units so that area = 5*5 = 25 square units.
