Ah, the diagonal of a 24 by 36 foot building is like a happy little pathway stretching from one corner to the opposite corner. To find it, we can use a simple formula from our painting palette called the Pythagorean theorem. Just square the length (24) and the width (36), add them together, and then take the square root to reveal the diagonal, which in this case would be 43.2 feet. Just imagine that diagonal as a lovely stream flowing through your painting, bringing balance and harmony to your composition.
Chat with our AI personalities
Pythagoras told us that the hypotenuse of a right triangle equals the square root of the sum of the squares of the other two sides. If you draw a line from corner to opposite corner of your building you divide the floor into two triangles with the same length sides and the hypotenuse is the diagonal of the building. So, taking one of the two triangles the length of the hypotenuse is equal to the square root of 242 + 362 which is 43.27
To find the diagonal measurement of a square, you can use the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides. In this case, both sides of the square are 36 feet long, so the diagonal can be calculated as √(36^2 + 36^2) = √(1296 + 1296) = √2592 ≈ 50.91 feet. Therefore, the diagonal measurement of a 36-foot by 36-foot square is approximately 50.91 feet.
The diagonal measurement for 36 feet by 36 feet is 50.91 feet.
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
The diagonal is 45.61 feet.
24(36) or 24 multiplied by 36 So the answer is: 24 (36) = 864 square feet