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How do you find the side of a square if you know its diagonal?
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
A rectangle is 4 ft by 6ft What is the length of the diagonal of the rectangle?
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem. In this case, the diagonal forms the hypotenuse of a right triangle with the sides being the length and width of the rectangle. So, the diagonal (d) can be calculated as d = √(4^2 + 6^2) = √(16 + 36) = √52 ≈ 7.21 feet.
How do you find the diagonal of a square?
If you know the length of the side, multiply it by 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.
How do you find the length of a diagonal in a cuboid?
To find the diagonal in a cuboid, we use Pythagoras' Theorem in 3 dimensions. If we call the diagonal D, and the 3 dimensions of the cuboid (length, width, height) a, b and c:D=sqrt(a2+b2+c2)Example: The cuboid has dimensions of 4, 6 and 8. Find the Diagonal.D=sqrt(42+62+82)D=sqrt(16+36+64)D=sqrt(116)D=10.8 (3sf)Diagonal = 10.8 (3sf)
