rectangle room is 3.75 m by 2.84 m what is the length of the diagonal? how to calcuate?
d^2 = 3.75^2 + 2.84^2
d = 4.70
To calculate the length of the diagonal of a rectangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right 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 lengths of the other two sides.
In this case, the rectangle represents a right triangle with the length and width of the rectangle as the two sides. So, we have a right triangle with the length of one side as 3.75 m and the length of the other side as 2.84 m.
To find the length of the diagonal, which is the hypotenuse, we can use the Pythagorean theorem:
Diagonal^2 = Length^2 + Width^2
Substituting the given values:
Diagonal^2 = 3.75^2 + 2.84^2
Calculating:
Diagonal^2 = 14.0625 + 8.0656
Diagonal^2 = 22.1281
To find the length of the diagonal, we need to take the square root of both sides:
Diagonal = √22.1281
Diagonal ≈ 4.7047 m
Therefore, the length of the diagonal of the given rectangle room is approximately 4.7047 meters.