tyger has a rectangular garden measuring 12m by 20m that he wants to split diagonally corner to corner using a fence how long does his fence need to be
To find the length of the fence needed to split the garden diagonally, we can use the Pythagorean theorem.
According to the theorem, in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the triangle are the width (12m) and the length (20m) of the garden.
To split the garden diagonally, the fence will act as the hypotenuse of the triangle.
Using the formula of the Pythagorean theorem (a^2 + b^2 = c^2), we can calculate the length of the fence:
c^2 = a^2 + b^2
fence^2 = 12^2 + 20^2
Simplifying the expression:
fence^2 = 144 + 400
fence^2 = 544
To find the length of the fence, we need to take the square root of both sides:
fence = √544
fence ≈ 23.32 meters
Therefore, Tyger needs a fence that is approximately 23.32 meters long to split his rectangular garden diagonally.
To find the length of the fence needed to split the rectangular garden diagonally, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the two sides of the rectangle form the legs of the right-angled triangle, and the fence will be the hypotenuse. The length of one side of the rectangle is 12m, and the length of the other side is 20m.
So, the length of the fence can be calculated using the Pythagorean theorem as follows:
Fence length² = 12² + 20²
Fence length² = 144 + 400
Fence length² = 544
Now, we need to find the square root of 544 to get the actual length of the fence:
Fence length = √544
Fence length ≈ 23.32m (rounded to two decimal places)
Therefore, the length of the fence needed to split the rectangular garden diagonally is approximately 23.32m.
Use Pythagorean theorem.
12^2 + 20^2 = diagonal^2