two adjacent sides of a parelellogram are 24 cm and 18cm .if the distance between the longer side is 12 cm then the distance between the shortest side is
Area are the same
12(24)=18(x)
16
To find the distance between the shortest side of a parallelogram, we can use the formula:
Distance = 2 * (height + shorter side)
In this case, we know the longer side is 24 cm and the distance between the longer side is 12 cm. Let's assume the longer side is the base of the parallelogram.
According to the given information, the height of the parallelogram is 12 cm, which is the distance between the longer side. Therefore, the height (h) is 12 cm.
Now, let's find the shorter side using the Pythagorean theorem. The lengths of the two adjacent sides are 24 cm and 18 cm, respectively.
Using the theorem:
(shorter side)^2 = (hypotenuse)^2 - (other side)^2
(shorter side)^2 = (24 cm)^2 - (18 cm)^2
(shorter side)^2 = 576 cm^2 - 324 cm^2
(shorter side)^2 = 252 cm^2
(shorter side) ≈ √252 cm
(shorter side) ≈ 15.87 cm (rounded to two decimal places)
Now, we can substitute these values in the distance formula to find the distance between the shortest side:
Distance = 2 * (height + shorter side)
Distance = 2 * (12 cm + 15.87 cm)
Distance = 2 * 27.87 cm
Distance ≈ 55.74 cm (rounded to two decimal places)
Therefore, the distance between the shortest side is approximately 55.74 cm.