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What is the length of a side of a square whose diagonal measures 4?
Designate the length by L. From the Pythagorean theorem, the length of the diagonal of a square, which divides the square into two right triangles, each with sides L (and the diagonal as hypotenuse to each right triangle), is square root of 2L2 = 4 (from the problem statement). Squaring both sides separately yields 2L2 = 16 or L = square root of 8 = 2 (square root of 2).
What is the formula to find the diagonal of a rectangle?
The diagonal of a rectangle is the third and longest side of a triangle with sides the same as those of the rectangle, so its length is the square root of the sum of the squares of the lengths of the sides of the triangle, (Pythoagoras' Theorem) which are also the sides of the rectangle. If the rectangle is 3 inches by 4 inches, then the diagonal is the square root of 3 squared (= 9) and 4 squared (= 16) so the diagonal is the square root of 16 + 9 = 25, giving it the length of 5 inches.
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 area of a square if the length is 16 inches?
A square with a side length of 16 inches has an area of 256 square inches.
What are the dimensions of a square that has the perimeter of sixteen?
Each side is 4. The diagonal is 5.66 and the area is 16 square units.
What is the length of one side of a square with a 16-centimeter diagonal?
The length of one side of a square with a 16-centimeter diagonal is: 11.31 cm
What is the side length of a square with a diagonal of 16?
Oh, what a happy little question! To find the side length of a square with a diagonal of 16, we can use the Pythagorean theorem. Since the diagonal, side length, and side length form a right triangle, we can use the formula a^2 + b^2 = c^2, where a and b are the side lengths and c is the diagonal. In this case, we have 2 sides of the square equal to each other, so we can simplify the equation to 2a^2 = 16^2. Solving this, we find that the side length of the square is 8.
What is the diagonal of a square that has a 16' side?
Using Pythagoras' theorem the diagonal is 16 times the square root of 2
Find the length of the radius of a regular quadrilateral with a perimeter of 16 cm?
A "regular quadrilateral" is a square. The word "radius" isn't used for squares (or polygons in general). To get the length of a side, divide the perimeter by 4. To get the diagonal of a square, multiply the length of a side by the square root of 2.
What is the length of a side of a square whose diagonal measures 4?
Designate the length by L. From the Pythagorean theorem, the length of the diagonal of a square, which divides the square into two right triangles, each with sides L (and the diagonal as hypotenuse to each right triangle), is square root of 2L2 = 4 (from the problem statement). Squaring both sides separately yields 2L2 = 16 or L = square root of 8 = 2 (square root of 2).
What is the diagonal of a square with a side of 16?
16*sqrt(2) = 22.627 (to 3 dp).
How do you find the length of a diagnol of a square if the perimeter is 64 cm?
If the perimeter is 64, then one side is 16. The diagonal is the hypotenuse of a right triangle. Hello Pythagoras. The answer is the square root of 512 or 16 times the square root of 2.
What is the formula to find the diagonal of a rectangle?
The diagonal of a rectangle is the third and longest side of a triangle with sides the same as those of the rectangle, so its length is the square root of the sum of the squares of the lengths of the sides of the triangle, (Pythoagoras' Theorem) which are also the sides of the rectangle. If the rectangle is 3 inches by 4 inches, then the diagonal is the square root of 3 squared (= 9) and 4 squared (= 16) so the diagonal is the square root of 16 + 9 = 25, giving it the length of 5 inches.
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.
How do you calculate the diagonal of a rectangle?
If you take the square of the long side and add it to the square of the short side, you get the diagonal (hypotenuse) squared. Then just find square root of that. For example, if short side is 3cm and long side is 4cm: 9 + 16 = 25, so the diagonal would be the square root of 25 ie. 5.
A square table has a perimeter of 16 feet. Which measure is closest to the length of the diagonal?
5.7 ft
What is the area of a square if the length is 16 inches?
A square with a side length of 16 inches has an area of 256 square inches.
