A rectangular hockey field is 4m long and 3m wide. Calculate the length of its diagonal
Pythagorean theorem:
a^2 + b^2 = 4^2 + 3^2 = c^2
Solve for c.
To calculate the length of the diagonal of the rectangular hockey field, you can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the other two sides.
In this case, the length and width of the hockey field form the two sides of the right triangle. Let's denote the length as "l" and the width as "w."
Step 1: Square the length and width of the hockey field:
l^2 = 4^2 = 16
w^2 = 3^2 = 9
Step 2: Add the squared values together:
16 + 9 = 25
Step 3: Take the square root of the sum:
√25 = 5
Therefore, the length of the diagonal of the rectangular hockey field is 5 meters.
To calculate the length of the diagonal of a rectangular hockey field, 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 width and length of the hockey field form the two sides of the right-angled triangle, and the diagonal is the hypotenuse.
So, let's calculate the length of the diagonal:
Step 1: Square the length and width:
Length squared = 4^2 = 16
Width squared = 3^2 = 9
Step 2: Add the squares of the length and width:
16 + 9 = 25
Step 3: Take the square root of the sum:
√25 = 5
Therefore, the length of the diagonal of the rectangular hockey field is 5 meters.