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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
How many diagonal sides does a rectangle have?
A diagonal cannot be a side of a rectangle, and a side cannot be a diagonal.
What is the diagonal of a square with a side of 10?
14 The ratio of the side of a square to the diagonal is 1.4.
How is the length of a diagonal of a square found?
As a square has right angles, the diagonal forms a right triangle with two of the sides of the square. Therefore use Pythagoras: diagonal² = side² + side² → diagonal² = 2side² → diagonal = side × √2 Therefore to find the length of the diagonal of a square, multiply the side length of a square by the square root of 2.
What is the diagonal of 11 square inches?
As no shape has been given for the area it is impossible to given the length of the diagonal - the diagonal can be ANY length greater than 0 (assuming you can define what diagonal means for the shape). If you are referring to a square with an area of 11 square inches then: Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 area = side² = diagonal² ÷ 2 → diagonal² = 2 × area → diagonal = √(2 × area) = √(2 × 11 sq in) = √22 in ≈ 4.69 in If you mean an 11 inch square, ie a square with 11 inches along each side: Use Pythagoras: Diagonal² = √(2 × sidelength²) → diagonal = side_length × √2 → diagonal = 11 in × √2 ≈ 15.6 in
Is a diagonal of a square perpendicular to its side always?
The diagonal of a square is not perpendicular to its side. The diagonal of a square will separate the square into two triangles. The diagonal goes from one corner to the opposite corner. Because it is a square, the diagonal and a side of the square will always form a 45-degree angle.
Why is the white on the Union Jack thin on one side and thick on the other?
because the English only wanted the English flag to be correct which is the Saint George flag or red cross on a white background, so the diagonal cross is offset. the earlier union flag didn't have any red diagonal lines on it. they were probably added for symmetry. I'm not an expert, someone probably knows a little more about the history
What is the diagonal of a square 2.0 meters on a side is?
The diagonal of a square 2.0 meters on a side is: 2.828 meters.
How long is the diagonal of a square if the side is 24?
The diagonal is 33.941 units.
What is the approximate perimeter of a square with a diagonal of 3 feet 9 inches?
1 ft = 12 in Using Pythagoras: diagonal² = side² + side² = 2 × side² → side² = diagonal² ÷ 2 → side = diagonal ÷ √2 perimeter = 4 × side = 4 × diagonal ÷ √2 = diagonal × 2√2 = 3 ft 9 in × 2√2 = 3 × 12 + 9 in × 2√2 = 45 in × 2√2 ≈ 63.6 in = 5 × 12 + 3.4 in = 5 ft 3.4 in
Is a diagonal always a side of a polygon?
No, a diagonal is never a side of a polygon:A diagonal is a line between two non-adjacent vertices of a polygon;A side is a line between two adjacent vertices of a polygon.
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.
