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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 perimeter of the square?
To find the perimeter of a square, you simply add up the lengths of all four sides. Since a square has all sides of equal length, you can multiply the length of one side by 4 to find the perimeter. For example, if a square has a side length of 5 units, the perimeter would be 5 + 5 + 5 + 5 = 20 units.
