The length and breadth of a rectangular hall are 24m and 18m.what is the largest straight line that can be drawn in the floor of the hall.
The diagonal
sqrt(24^2 + 18^2)
To find the largest straight line that can be drawn in the floor of the hall, we need to determine the length of the diagonal.
To find the diagonal, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides.
In this case, the length and breadth of the rectangular hall form the two sides of a right-angled triangle, with the diagonal being the hypotenuse.
So, using the Pythagorean theorem:
Length of diagonal (d)^2 = Length of the hall (l)^2 + Breadth of the hall (b)^2
Substituting the values:
d^2 = 24^2 + 18^2
d^2 = 576 + 324
d^2 = 900
Taking the square root of both sides:
d = √900
d = 30m
Therefore, the largest straight line that can be drawn in the floor of the hall is 30 meters.