To find the diagonal of a square, we can use the formula for the diagonal of a square, which is d = s√2, where d is the diagonal length and s is the side length of the square. Given that the area of the square is 36, we can find the side length by taking the square root of the area, which is √36 = 6. Substituting s = 6 into the formula, we get d = 6√2. Therefore, the diagonal of the square with an area of 36 is 6√2 units.
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First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.
First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.
First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.
First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.
First, take the square root, to get the length of a side. Then (because of Pythagoras), multiply the length of the side by the square root of 2.
The diagonal of a square whose area is 36 is the square root of 72, or about 8.49. Since the area of a square is side(squared), then the sides are each 6. Then since a(squared) + b(squared) = c(squared), for a triangle (the diagonal), you get the square root of 72.
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.
First you want to find the lengths of the square. The formula for area is b × h, but because it's a square (and the base is the same as the height), the area can be expressed as b2. So if b2 = 36, then √36 = b. Therefore, b = 6.If you draw the diagonal in the square and make a triangle, you can use the two sides you do know to figure out the third side of the triangle using the Pythagorean theorem.62 + 62 = c272 = c2√72 = cc ≈ 8.49
12.73 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