A parallelogram has sides 15cm and 18cm.The height corresponding to a 15cm base is 9cm.Find height corresponding to an 18cm base.
To find the height corresponding to an 18cm base in a parallelogram with sides 15cm and 18cm, we can use the concept that the area of a parallelogram is equal to the product of the base and the corresponding height.
Let's denote the base as b and the corresponding height as h.
Given that the first base (15cm) has a corresponding height of 9cm, we can set up the following proportion:
15cm / 9cm = 18cm / h
To solve for h, we can cross-multiply and then divide:
15cm * h = 18cm * 9cm
15h = 162cm^2
h = 162cm^2 / 15
h ≈ 10.8cm
Therefore, the height corresponding to an 18cm base in the parallelogram is approximately 10.8cm.